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Finding the Third Proportional to 15,126 and 22,473

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Solution

The third proportional to 15,126 and 22,473 is: 33,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126 : 22,473 = 22,473 : x
  2. Step 2: Convert to fraction form
    15,126/22,473 = 22,473/x
  3. Step 3: Cross multiply
    15,126x = 22,473 × 22,473
  4. Step 4: Simplify right side
    15,126x = 505,035,729
  5. Step 5: Solve for x
    x = 505,035,729/15,126
  6. Step 6: Final answer
    x = 33,388.58

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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.