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Finding the Third Proportional to 47,482 and 67,854

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Solution

The third proportional to 47,482 and 67,854 is: 96,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482 : 67,854 = 67,854 : x
  2. Step 2: Convert to fraction form
    47,482/67,854 = 67,854/x
  3. Step 3: Cross multiply
    47,482x = 67,854 × 67,854
  4. Step 4: Simplify right side
    47,482x = 4,604,165,316
  5. Step 5: Solve for x
    x = 4,604,165,316/47,482
  6. Step 6: Final answer
    x = 96,966.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.