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Finding the Third Proportional to 7,737 and 16,862.25

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Solution

The third proportional to 7,737 and 16,862.25 is: 36,750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 16,862.25 = 16,862.25 : x
  2. Step 2: Convert to fraction form
    7,737/16,862.25 = 16,862.25/x
  3. Step 3: Cross multiply
    7,737x = 16,862.25 × 16,862.25
  4. Step 4: Simplify right side
    7,737x = 284,335,475.06
  5. Step 5: Solve for x
    x = 284,335,475.06/7,737
  6. Step 6: Final answer
    x = 36,750.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.