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Finding the Third Proportional to 5,869.13 and 12,354.19

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Solution

The third proportional to 5,869.13 and 12,354.19 is: 26,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.13 : 12,354.19 = 12,354.19 : x
  2. Step 2: Convert to fraction form
    5,869.13/12,354.19 = 12,354.19/x
  3. Step 3: Cross multiply
    5,869.13x = 12,354.19 × 12,354.19
  4. Step 4: Simplify right side
    5,869.13x = 152,625,948.79
  5. Step 5: Solve for x
    x = 152,625,948.79/5,869.13
  6. Step 6: Final answer
    x = 26,004.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.