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Finding the Third Proportional to 15,098.25 and 22,203.38

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Solution

The third proportional to 15,098.25 and 22,203.38 is: 32,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.25 : 22,203.38 = 22,203.38 : x
  2. Step 2: Convert to fraction form
    15,098.25/22,203.38 = 22,203.38/x
  3. Step 3: Cross multiply
    15,098.25x = 22,203.38 × 22,203.38
  4. Step 4: Simplify right side
    15,098.25x = 492,989,861.39
  5. Step 5: Solve for x
    x = 492,989,861.39/15,098.25
  6. Step 6: Final answer
    x = 32,652.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.