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Finding the Third Proportional to 42,311 and 63,473

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Solution

The third proportional to 42,311 and 63,473 is: 95,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,311 : 63,473 = 63,473 : x
  2. Step 2: Convert to fraction form
    42,311/63,473 = 63,473/x
  3. Step 3: Cross multiply
    42,311x = 63,473 × 63,473
  4. Step 4: Simplify right side
    42,311x = 4,028,821,729
  5. Step 5: Solve for x
    x = 4,028,821,729/42,311
  6. Step 6: Final answer
    x = 95,219.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.