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Finding the Third Proportional to 15,028 and 22,412

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Solution

The third proportional to 15,028 and 22,412 is: 33,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028 : 22,412 = 22,412 : x
  2. Step 2: Convert to fraction form
    15,028/22,412 = 22,412/x
  3. Step 3: Cross multiply
    15,028x = 22,412 × 22,412
  4. Step 4: Simplify right side
    15,028x = 502,297,744
  5. Step 5: Solve for x
    x = 502,297,744/15,028
  6. Step 6: Final answer
    x = 33,424.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.