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Finding the Third Proportional to 10,313.25 and 15,492.38

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Solution

The third proportional to 10,313.25 and 15,492.38 is: 23,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.25 : 15,492.38 = 15,492.38 : x
  2. Step 2: Convert to fraction form
    10,313.25/15,492.38 = 15,492.38/x
  3. Step 3: Cross multiply
    10,313.25x = 15,492.38 × 15,492.38
  4. Step 4: Simplify right side
    10,313.25x = 240,013,683.14
  5. Step 5: Solve for x
    x = 240,013,683.14/10,313.25
  6. Step 6: Final answer
    x = 23,272.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.