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Finding the Third Proportional to 46,928 and 63,432

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Solution

The third proportional to 46,928 and 63,432 is: 85,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,928 : 63,432 = 63,432 : x
  2. Step 2: Convert to fraction form
    46,928/63,432 = 63,432/x
  3. Step 3: Cross multiply
    46,928x = 63,432 × 63,432
  4. Step 4: Simplify right side
    46,928x = 4,023,618,624
  5. Step 5: Solve for x
    x = 4,023,618,624/46,928
  6. Step 6: Final answer
    x = 85,740.25

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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.