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Finding the Third Proportional to 23,472 and 55,424

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Solution

The third proportional to 23,472 and 55,424 is: 130,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472 : 55,424 = 55,424 : x
  2. Step 2: Convert to fraction form
    23,472/55,424 = 55,424/x
  3. Step 3: Cross multiply
    23,472x = 55,424 × 55,424
  4. Step 4: Simplify right side
    23,472x = 3,071,819,776
  5. Step 5: Solve for x
    x = 3,071,819,776/23,472
  6. Step 6: Final answer
    x = 130,871.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.