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Finding the Third Proportional to 7,514.44 and 10,681.03

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Solution

The third proportional to 7,514.44 and 10,681.03 is: 15,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.44 : 10,681.03 = 10,681.03 : x
  2. Step 2: Convert to fraction form
    7,514.44/10,681.03 = 10,681.03/x
  3. Step 3: Cross multiply
    7,514.44x = 10,681.03 × 10,681.03
  4. Step 4: Simplify right side
    7,514.44x = 114,084,428.56
  5. Step 5: Solve for x
    x = 114,084,428.56/7,514.44
  6. Step 6: Final answer
    x = 15,182.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.