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Finding the Third Proportional to 47,304 and 55,944

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Solution

The third proportional to 47,304 and 55,944 is: 66,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304 : 55,944 = 55,944 : x
  2. Step 2: Convert to fraction form
    47,304/55,944 = 55,944/x
  3. Step 3: Cross multiply
    47,304x = 55,944 × 55,944
  4. Step 4: Simplify right side
    47,304x = 3,129,731,136
  5. Step 5: Solve for x
    x = 3,129,731,136/47,304
  6. Step 6: Final answer
    x = 66,162.08

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.