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Finding the Third Proportional to 5,864.63 and 6,877.13

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Solution

The third proportional to 5,864.63 and 6,877.13 is: 8,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.63 : 6,877.13 = 6,877.13 : x
  2. Step 2: Convert to fraction form
    5,864.63/6,877.13 = 6,877.13/x
  3. Step 3: Cross multiply
    5,864.63x = 6,877.13 × 6,877.13
  4. Step 4: Simplify right side
    5,864.63x = 47,294,848.27
  5. Step 5: Solve for x
    x = 47,294,848.27/5,864.63
  6. Step 6: Final answer
    x = 8,064.43

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.