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Finding the Third Proportional to 21,306.16 and 39,946.92

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Solution

The third proportional to 21,306.16 and 39,946.92 is: 74,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.16 : 39,946.92 = 39,946.92 : x
  2. Step 2: Convert to fraction form
    21,306.16/39,946.92 = 39,946.92/x
  3. Step 3: Cross multiply
    21,306.16x = 39,946.92 × 39,946.92
  4. Step 4: Simplify right side
    21,306.16x = 1,595,756,567.29
  5. Step 5: Solve for x
    x = 1,595,756,567.29/21,306.16
  6. Step 6: Final answer
    x = 74,896.47

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.