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Finding the Third Proportional to 47,404 and 76,362

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Solution

The third proportional to 47,404 and 76,362 is: 123,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404 : 76,362 = 76,362 : x
  2. Step 2: Convert to fraction form
    47,404/76,362 = 76,362/x
  3. Step 3: Cross multiply
    47,404x = 76,362 × 76,362
  4. Step 4: Simplify right side
    47,404x = 5,831,155,044
  5. Step 5: Solve for x
    x = 5,831,155,044/47,404
  6. Step 6: Final answer
    x = 123,009.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.