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Finding the Third Proportional to 4,306.13 and 6,869.06

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Solution

The third proportional to 4,306.13 and 6,869.06 is: 10,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.13 : 6,869.06 = 6,869.06 : x
  2. Step 2: Convert to fraction form
    4,306.13/6,869.06 = 6,869.06/x
  3. Step 3: Cross multiply
    4,306.13x = 6,869.06 × 6,869.06
  4. Step 4: Simplify right side
    4,306.13x = 47,184,019.63
  5. Step 5: Solve for x
    x = 47,184,019.63/4,306.13
  6. Step 6: Final answer
    x = 10,957.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.