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Finding the Third Proportional to 2,116.13 and 2,397.09

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Solution

The third proportional to 2,116.13 and 2,397.09 is: 2,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.13 : 2,397.09 = 2,397.09 : x
  2. Step 2: Convert to fraction form
    2,116.13/2,397.09 = 2,397.09/x
  3. Step 3: Cross multiply
    2,116.13x = 2,397.09 × 2,397.09
  4. Step 4: Simplify right side
    2,116.13x = 5,746,058.45
  5. Step 5: Solve for x
    x = 5,746,058.45/2,116.13
  6. Step 6: Final answer
    x = 2,715.37

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.