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Finding the Third Proportional to 9,039.09 and 13,281.47

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Solution

The third proportional to 9,039.09 and 13,281.47 is: 19,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.09 : 13,281.47 = 13,281.47 : x
  2. Step 2: Convert to fraction form
    9,039.09/13,281.47 = 13,281.47/x
  3. Step 3: Cross multiply
    9,039.09x = 13,281.47 × 13,281.47
  4. Step 4: Simplify right side
    9,039.09x = 176,397,412.16
  5. Step 5: Solve for x
    x = 176,397,412.16/9,039.09
  6. Step 6: Final answer
    x = 19,514.94

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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.