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Finding the Third Proportional to 38,988 and 59,446

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Solution

The third proportional to 38,988 and 59,446 is: 90,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,988 : 59,446 = 59,446 : x
  2. Step 2: Convert to fraction form
    38,988/59,446 = 59,446/x
  3. Step 3: Cross multiply
    38,988x = 59,446 × 59,446
  4. Step 4: Simplify right side
    38,988x = 3,533,826,916
  5. Step 5: Solve for x
    x = 3,533,826,916/38,988
  6. Step 6: Final answer
    x = 90,638.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.