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Finding the Third Proportional to 47,109 and 63,969.75

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Solution

The third proportional to 47,109 and 63,969.75 is: 86,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109 : 63,969.75 = 63,969.75 : x
  2. Step 2: Convert to fraction form
    47,109/63,969.75 = 63,969.75/x
  3. Step 3: Cross multiply
    47,109x = 63,969.75 × 63,969.75
  4. Step 4: Simplify right side
    47,109x = 4,092,128,915.06
  5. Step 5: Solve for x
    x = 4,092,128,915.06/47,109
  6. Step 6: Final answer
    x = 86,865.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.