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Finding the Third Proportional to 15,207.75 and 17,988.75

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Solution

The third proportional to 15,207.75 and 17,988.75 is: 21,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.75 : 17,988.75 = 17,988.75 : x
  2. Step 2: Convert to fraction form
    15,207.75/17,988.75 = 17,988.75/x
  3. Step 3: Cross multiply
    15,207.75x = 17,988.75 × 17,988.75
  4. Step 4: Simplify right side
    15,207.75x = 323,595,126.56
  5. Step 5: Solve for x
    x = 323,595,126.56/15,207.75
  6. Step 6: Final answer
    x = 21,278.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.