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Finding the Third Proportional to 39,935 and 59,558

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Solution

The third proportional to 39,935 and 59,558 is: 88,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,935 : 59,558 = 59,558 : x
  2. Step 2: Convert to fraction form
    39,935/59,558 = 59,558/x
  3. Step 3: Cross multiply
    39,935x = 59,558 × 59,558
  4. Step 4: Simplify right side
    39,935x = 3,547,155,364
  5. Step 5: Solve for x
    x = 3,547,155,364/39,935
  6. Step 6: Final answer
    x = 88,823.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.