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Finding the Third Proportional to 40,748 and 59,864

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Solution

The third proportional to 40,748 and 59,864 is: 87,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,748 : 59,864 = 59,864 : x
  2. Step 2: Convert to fraction form
    40,748/59,864 = 59,864/x
  3. Step 3: Cross multiply
    40,748x = 59,864 × 59,864
  4. Step 4: Simplify right side
    40,748x = 3,583,698,496
  5. Step 5: Solve for x
    x = 3,583,698,496/40,748
  6. Step 6: Final answer
    x = 87,947.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.