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Finding the Third Proportional to 43,472 and 65,304

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Solution

The third proportional to 43,472 and 65,304 is: 98,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,472 : 65,304 = 65,304 : x
  2. Step 2: Convert to fraction form
    43,472/65,304 = 65,304/x
  3. Step 3: Cross multiply
    43,472x = 65,304 × 65,304
  4. Step 4: Simplify right side
    43,472x = 4,264,612,416
  5. Step 5: Solve for x
    x = 4,264,612,416/43,472
  6. Step 6: Final answer
    x = 98,100.21

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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.