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Finding the Third Proportional to 22,237.66 and 47,653.31

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Solution

The third proportional to 22,237.66 and 47,653.31 is: 102,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.66 : 47,653.31 = 47,653.31 : x
  2. Step 2: Convert to fraction form
    22,237.66/47,653.31 = 47,653.31/x
  3. Step 3: Cross multiply
    22,237.66x = 47,653.31 × 47,653.31
  4. Step 4: Simplify right side
    22,237.66x = 2,270,838,192.22
  5. Step 5: Solve for x
    x = 2,270,838,192.22/22,237.66
  6. Step 6: Final answer
    x = 102,116.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.