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Finding the Third Proportional to 47,684.25 and 101,531.25

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Solution

The third proportional to 47,684.25 and 101,531.25 is: 216,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.25 : 101,531.25 = 101,531.25 : x
  2. Step 2: Convert to fraction form
    47,684.25/101,531.25 = 101,531.25/x
  3. Step 3: Cross multiply
    47,684.25x = 101,531.25 × 101,531.25
  4. Step 4: Simplify right side
    47,684.25x = 10,308,594,726.56
  5. Step 5: Solve for x
    x = 10,308,594,726.56/47,684.25
  6. Step 6: Final answer
    x = 216,184.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.