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Finding the Third Proportional to 7,603.13 and 16,686.47

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Solution

The third proportional to 7,603.13 and 16,686.47 is: 36,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.13 : 16,686.47 = 16,686.47 : x
  2. Step 2: Convert to fraction form
    7,603.13/16,686.47 = 16,686.47/x
  3. Step 3: Cross multiply
    7,603.13x = 16,686.47 × 16,686.47
  4. Step 4: Simplify right side
    7,603.13x = 278,438,239.34
  5. Step 5: Solve for x
    x = 278,438,239.34/7,603.13
  6. Step 6: Final answer
    x = 36,621.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.