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Finding the Third Proportional to 23,461 and 47,877

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Solution

The third proportional to 23,461 and 47,877 is: 97,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461 : 47,877 = 47,877 : x
  2. Step 2: Convert to fraction form
    23,461/47,877 = 47,877/x
  3. Step 3: Cross multiply
    23,461x = 47,877 × 47,877
  4. Step 4: Simplify right side
    23,461x = 2,292,207,129
  5. Step 5: Solve for x
    x = 2,292,207,129/23,461
  6. Step 6: Final answer
    x = 97,702.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.