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Finding the Third Proportional to 11,180.25 and 15,130.13

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Solution

The third proportional to 11,180.25 and 15,130.13 is: 20,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.25 : 15,130.13 = 15,130.13 : x
  2. Step 2: Convert to fraction form
    11,180.25/15,130.13 = 15,130.13/x
  3. Step 3: Cross multiply
    11,180.25x = 15,130.13 × 15,130.13
  4. Step 4: Simplify right side
    11,180.25x = 228,920,682.52
  5. Step 5: Solve for x
    x = 228,920,682.52/11,180.25
  6. Step 6: Final answer
    x = 20,475.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.