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Finding the Third Proportional to 47,232 and 63,864

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Solution

The third proportional to 47,232 and 63,864 is: 86,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,232 : 63,864 = 63,864 : x
  2. Step 2: Convert to fraction form
    47,232/63,864 = 63,864/x
  3. Step 3: Cross multiply
    47,232x = 63,864 × 63,864
  4. Step 4: Simplify right side
    47,232x = 4,078,610,496
  5. Step 5: Solve for x
    x = 4,078,610,496/47,232
  6. Step 6: Final answer
    x = 86,352.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.