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Finding the Third Proportional to 22,472 and 53,030

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Solution

The third proportional to 22,472 and 53,030 is: 125,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472 : 53,030 = 53,030 : x
  2. Step 2: Convert to fraction form
    22,472/53,030 = 53,030/x
  3. Step 3: Cross multiply
    22,472x = 53,030 × 53,030
  4. Step 4: Simplify right side
    22,472x = 2,812,180,900
  5. Step 5: Solve for x
    x = 2,812,180,900/22,472
  6. Step 6: Final answer
    x = 125,141.55

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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.