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Finding the Third Proportional to 7,897.13 and 13,159.69

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Solution

The third proportional to 7,897.13 and 13,159.69 is: 21,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.13 : 13,159.69 = 13,159.69 : x
  2. Step 2: Convert to fraction form
    7,897.13/13,159.69 = 13,159.69/x
  3. Step 3: Cross multiply
    7,897.13x = 13,159.69 × 13,159.69
  4. Step 4: Simplify right side
    7,897.13x = 173,177,375.10
  5. Step 5: Solve for x
    x = 173,177,375.10/7,897.13
  6. Step 6: Final answer
    x = 21,929.17

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.