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Finding the Third Proportional to 7,280 and 14,755

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Solution

The third proportional to 7,280 and 14,755 is: 29,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280 : 14,755 = 14,755 : x
  2. Step 2: Convert to fraction form
    7,280/14,755 = 14,755/x
  3. Step 3: Cross multiply
    7,280x = 14,755 × 14,755
  4. Step 4: Simplify right side
    7,280x = 217,710,025
  5. Step 5: Solve for x
    x = 217,710,025/7,280
  6. Step 6: Final answer
    x = 29,905.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.