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Finding the Third Proportional to 10,737 and 24,817.50

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Solution

The third proportional to 10,737 and 24,817.50 is: 57,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 24,817.50 = 24,817.50 : x
  2. Step 2: Convert to fraction form
    10,737/24,817.50 = 24,817.50/x
  3. Step 3: Cross multiply
    10,737x = 24,817.50 × 24,817.50
  4. Step 4: Simplify right side
    10,737x = 615,908,306.25
  5. Step 5: Solve for x
    x = 615,908,306.25/10,737
  6. Step 6: Final answer
    x = 57,363.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.