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Finding the Third Proportional to 42,788 and 63,830

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Solution

The third proportional to 42,788 and 63,830 is: 95,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,788 : 63,830 = 63,830 : x
  2. Step 2: Convert to fraction form
    42,788/63,830 = 63,830/x
  3. Step 3: Cross multiply
    42,788x = 63,830 × 63,830
  4. Step 4: Simplify right side
    42,788x = 4,074,268,900
  5. Step 5: Solve for x
    x = 4,074,268,900/42,788
  6. Step 6: Final answer
    x = 95,219.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.