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Finding the Third Proportional to 52,548 and 62,391

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Solution

The third proportional to 52,548 and 62,391 is: 74,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,548 : 62,391 = 62,391 : x
  2. Step 2: Convert to fraction form
    52,548/62,391 = 62,391/x
  3. Step 3: Cross multiply
    52,548x = 62,391 × 62,391
  4. Step 4: Simplify right side
    52,548x = 3,892,636,881
  5. Step 5: Solve for x
    x = 3,892,636,881/52,548
  6. Step 6: Final answer
    x = 74,077.74

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.