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Finding the Third Proportional to 34,490 and 52,737

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Solution

The third proportional to 34,490 and 52,737 is: 80,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490 : 52,737 = 52,737 : x
  2. Step 2: Convert to fraction form
    34,490/52,737 = 52,737/x
  3. Step 3: Cross multiply
    34,490x = 52,737 × 52,737
  4. Step 4: Simplify right side
    34,490x = 2,781,191,169
  5. Step 5: Solve for x
    x = 2,781,191,169/34,490
  6. Step 6: Final answer
    x = 80,637.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.