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Finding the Third Proportional to 7,077.50 and 13,138

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Solution

The third proportional to 7,077.50 and 13,138 is: 24,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.50 : 13,138 = 13,138 : x
  2. Step 2: Convert to fraction form
    7,077.50/13,138 = 13,138/x
  3. Step 3: Cross multiply
    7,077.50x = 13,138 × 13,138
  4. Step 4: Simplify right side
    7,077.50x = 172,607,044
  5. Step 5: Solve for x
    x = 172,607,044/7,077.50
  6. Step 6: Final answer
    x = 24,388.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.