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Finding the Third Proportional to 5,678 and 7,877

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Solution

The third proportional to 5,678 and 7,877 is: 10,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 7,877 = 7,877 : x
  2. Step 2: Convert to fraction form
    5,678/7,877 = 7,877/x
  3. Step 3: Cross multiply
    5,678x = 7,877 × 7,877
  4. Step 4: Simplify right side
    5,678x = 62,047,129
  5. Step 5: Solve for x
    x = 62,047,129/5,678
  6. Step 6: Final answer
    x = 10,927.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.