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Finding the Third Proportional to 14,113.79 and 20,780.82

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Solution

The third proportional to 14,113.79 and 20,780.82 is: 30,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.79 : 20,780.82 = 20,780.82 : x
  2. Step 2: Convert to fraction form
    14,113.79/20,780.82 = 20,780.82/x
  3. Step 3: Cross multiply
    14,113.79x = 20,780.82 × 20,780.82
  4. Step 4: Simplify right side
    14,113.79x = 431,842,312.75
  5. Step 5: Solve for x
    x = 431,842,312.75/14,113.79
  6. Step 6: Final answer
    x = 30,597.20

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