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Finding the Third Proportional to 3,864.27 and 5,873.29

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Solution

The third proportional to 3,864.27 and 5,873.29 is: 8,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.27 : 5,873.29 = 5,873.29 : x
  2. Step 2: Convert to fraction form
    3,864.27/5,873.29 = 5,873.29/x
  3. Step 3: Cross multiply
    3,864.27x = 5,873.29 × 5,873.29
  4. Step 4: Simplify right side
    3,864.27x = 34,495,547.35
  5. Step 5: Solve for x
    x = 34,495,547.35/3,864.27
  6. Step 6: Final answer
    x = 8,926.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.