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Finding the Third Proportional to 47,896 and 64,432

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Solution

The third proportional to 47,896 and 64,432 is: 86,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896 : 64,432 = 64,432 : x
  2. Step 2: Convert to fraction form
    47,896/64,432 = 64,432/x
  3. Step 3: Cross multiply
    47,896x = 64,432 × 64,432
  4. Step 4: Simplify right side
    47,896x = 4,151,482,624
  5. Step 5: Solve for x
    x = 4,151,482,624/47,896
  6. Step 6: Final answer
    x = 86,677.02

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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.