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Finding the Third Proportional to 42,282 and 63,321.75

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Solution

The third proportional to 42,282 and 63,321.75 is: 94,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,282 : 63,321.75 = 63,321.75 : x
  2. Step 2: Convert to fraction form
    42,282/63,321.75 = 63,321.75/x
  3. Step 3: Cross multiply
    42,282x = 63,321.75 × 63,321.75
  4. Step 4: Simplify right side
    42,282x = 4,009,644,023.06
  5. Step 5: Solve for x
    x = 4,009,644,023.06/42,282
  6. Step 6: Final answer
    x = 94,830.99

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