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Finding the Third Proportional to 29,877 and 64,992

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Solution

The third proportional to 29,877 and 64,992 is: 141,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877 : 64,992 = 64,992 : x
  2. Step 2: Convert to fraction form
    29,877/64,992 = 64,992/x
  3. Step 3: Cross multiply
    29,877x = 64,992 × 64,992
  4. Step 4: Simplify right side
    29,877x = 4,223,960,064
  5. Step 5: Solve for x
    x = 4,223,960,064/29,877
  6. Step 6: Final answer
    x = 141,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.