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Finding the Third Proportional to 4,677 and 6,877

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Solution

The third proportional to 4,677 and 6,877 is: 10,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 6,877 = 6,877 : x
  2. Step 2: Convert to fraction form
    4,677/6,877 = 6,877/x
  3. Step 3: Cross multiply
    4,677x = 6,877 × 6,877
  4. Step 4: Simplify right side
    4,677x = 47,293,129
  5. Step 5: Solve for x
    x = 47,293,129/4,677
  6. Step 6: Final answer
    x = 10,111.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.