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Finding the Third Proportional to 15,160 and 22,520

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Solution

The third proportional to 15,160 and 22,520 is: 33,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 22,520 = 22,520 : x
  2. Step 2: Convert to fraction form
    15,160/22,520 = 22,520/x
  3. Step 3: Cross multiply
    15,160x = 22,520 × 22,520
  4. Step 4: Simplify right side
    15,160x = 507,150,400
  5. Step 5: Solve for x
    x = 507,150,400/15,160
  6. Step 6: Final answer
    x = 33,453.19

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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.