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Finding the Third Proportional to 37,248 and 75,576

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Solution

The third proportional to 37,248 and 75,576 is: 153,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,248 : 75,576 = 75,576 : x
  2. Step 2: Convert to fraction form
    37,248/75,576 = 75,576/x
  3. Step 3: Cross multiply
    37,248x = 75,576 × 75,576
  4. Step 4: Simplify right side
    37,248x = 5,711,731,776
  5. Step 5: Solve for x
    x = 5,711,731,776/37,248
  6. Step 6: Final answer
    x = 153,343.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.