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Finding the Third Proportional to 42,951.75 and 64,509

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Solution

The third proportional to 42,951.75 and 64,509 is: 96,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,951.75 : 64,509 = 64,509 : x
  2. Step 2: Convert to fraction form
    42,951.75/64,509 = 64,509/x
  3. Step 3: Cross multiply
    42,951.75x = 64,509 × 64,509
  4. Step 4: Simplify right side
    42,951.75x = 4,161,411,081
  5. Step 5: Solve for x
    x = 4,161,411,081/42,951.75
  6. Step 6: Final answer
    x = 96,885.72

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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.