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Finding the Third Proportional to 15,242.50 and 23,134

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Solution

The third proportional to 15,242.50 and 23,134 is: 35,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.50 : 23,134 = 23,134 : x
  2. Step 2: Convert to fraction form
    15,242.50/23,134 = 23,134/x
  3. Step 3: Cross multiply
    15,242.50x = 23,134 × 23,134
  4. Step 4: Simplify right side
    15,242.50x = 535,181,956
  5. Step 5: Solve for x
    x = 535,181,956/15,242.50
  6. Step 6: Final answer
    x = 35,111.17

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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.