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Finding the Third Proportional to 29,280 and 42,672

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Solution

The third proportional to 29,280 and 42,672 is: 62,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,280 : 42,672 = 42,672 : x
  2. Step 2: Convert to fraction form
    29,280/42,672 = 42,672/x
  3. Step 3: Cross multiply
    29,280x = 42,672 × 42,672
  4. Step 4: Simplify right side
    29,280x = 1,820,899,584
  5. Step 5: Solve for x
    x = 1,820,899,584/29,280
  6. Step 6: Final answer
    x = 62,189.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.