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Finding the Third Proportional to 9,031.75 and 13,285.88

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Solution

The third proportional to 9,031.75 and 13,285.88 is: 19,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.75 : 13,285.88 = 13,285.88 : x
  2. Step 2: Convert to fraction form
    9,031.75/13,285.88 = 13,285.88/x
  3. Step 3: Cross multiply
    9,031.75x = 13,285.88 × 13,285.88
  4. Step 4: Simplify right side
    9,031.75x = 176,514,474.52
  5. Step 5: Solve for x
    x = 176,514,474.52/9,031.75
  6. Step 6: Final answer
    x = 19,543.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.