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Finding the Third Proportional to 6,544.13 and 15,864.19

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Solution

The third proportional to 6,544.13 and 15,864.19 is: 38,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.13 : 15,864.19 = 15,864.19 : x
  2. Step 2: Convert to fraction form
    6,544.13/15,864.19 = 15,864.19/x
  3. Step 3: Cross multiply
    6,544.13x = 15,864.19 × 15,864.19
  4. Step 4: Simplify right side
    6,544.13x = 251,672,445.04
  5. Step 5: Solve for x
    x = 251,672,445.04/6,544.13
  6. Step 6: Final answer
    x = 38,457.77

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.