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Finding the Third Proportional to 9,135.28 and 15,514.03

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Solution

The third proportional to 9,135.28 and 15,514.03 is: 26,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.28 : 15,514.03 = 15,514.03 : x
  2. Step 2: Convert to fraction form
    9,135.28/15,514.03 = 15,514.03/x
  3. Step 3: Cross multiply
    9,135.28x = 15,514.03 × 15,514.03
  4. Step 4: Simplify right side
    9,135.28x = 240,685,165.63
  5. Step 5: Solve for x
    x = 240,685,165.63/9,135.28
  6. Step 6: Final answer
    x = 26,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.