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Finding the Third Proportional to 13,780.76 and 29,560.57

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Solution

The third proportional to 13,780.76 and 29,560.57 is: 63,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.76 : 29,560.57 = 29,560.57 : x
  2. Step 2: Convert to fraction form
    13,780.76/29,560.57 = 29,560.57/x
  3. Step 3: Cross multiply
    13,780.76x = 29,560.57 × 29,560.57
  4. Step 4: Simplify right side
    13,780.76x = 873,827,317.20
  5. Step 5: Solve for x
    x = 873,827,317.20/13,780.76
  6. Step 6: Final answer
    x = 63,409.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.