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Finding the Third Proportional to 13,180 and 15,503.75

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Solution

The third proportional to 13,180 and 15,503.75 is: 18,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180 : 15,503.75 = 15,503.75 : x
  2. Step 2: Convert to fraction form
    13,180/15,503.75 = 15,503.75/x
  3. Step 3: Cross multiply
    13,180x = 15,503.75 × 15,503.75
  4. Step 4: Simplify right side
    13,180x = 240,366,264.06
  5. Step 5: Solve for x
    x = 240,366,264.06/13,180
  6. Step 6: Final answer
    x = 18,237.20

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.