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Finding the Third Proportional to 22,681 and 29,647.50

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Solution

The third proportional to 22,681 and 29,647.50 is: 38,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681 : 29,647.50 = 29,647.50 : x
  2. Step 2: Convert to fraction form
    22,681/29,647.50 = 29,647.50/x
  3. Step 3: Cross multiply
    22,681x = 29,647.50 × 29,647.50
  4. Step 4: Simplify right side
    22,681x = 878,974,256.25
  5. Step 5: Solve for x
    x = 878,974,256.25/22,681
  6. Step 6: Final answer
    x = 38,753.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.