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Finding the Third Proportional to 7,891.17 and 17,123.06

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Solution

The third proportional to 7,891.17 and 17,123.06 is: 37,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.17 : 17,123.06 = 17,123.06 : x
  2. Step 2: Convert to fraction form
    7,891.17/17,123.06 = 17,123.06/x
  3. Step 3: Cross multiply
    7,891.17x = 17,123.06 × 17,123.06
  4. Step 4: Simplify right side
    7,891.17x = 293,199,269.38
  5. Step 5: Solve for x
    x = 293,199,269.38/7,891.17
  6. Step 6: Final answer
    x = 37,155.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.