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Finding the Third Proportional to 29,160 and 44,280

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Solution

The third proportional to 29,160 and 44,280 is: 67,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,160 : 44,280 = 44,280 : x
  2. Step 2: Convert to fraction form
    29,160/44,280 = 44,280/x
  3. Step 3: Cross multiply
    29,160x = 44,280 × 44,280
  4. Step 4: Simplify right side
    29,160x = 1,960,718,400
  5. Step 5: Solve for x
    x = 1,960,718,400/29,160
  6. Step 6: Final answer
    x = 67,240

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.