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Finding the Third Proportional to 10,495.20 and 22,681.27

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Solution

The third proportional to 10,495.20 and 22,681.27 is: 49,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.20 : 22,681.27 = 22,681.27 : x
  2. Step 2: Convert to fraction form
    10,495.20/22,681.27 = 22,681.27/x
  3. Step 3: Cross multiply
    10,495.20x = 22,681.27 × 22,681.27
  4. Step 4: Simplify right side
    10,495.20x = 514,439,810.35
  5. Step 5: Solve for x
    x = 514,439,810.35/10,495.20
  6. Step 6: Final answer
    x = 49,016.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.