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Finding the Third Proportional to 10,913.06 and 16,686.56

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Solution

The third proportional to 10,913.06 and 16,686.56 is: 25,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.06 : 16,686.56 = 16,686.56 : x
  2. Step 2: Convert to fraction form
    10,913.06/16,686.56 = 16,686.56/x
  3. Step 3: Cross multiply
    10,913.06x = 16,686.56 × 16,686.56
  4. Step 4: Simplify right side
    10,913.06x = 278,441,368.07
  5. Step 5: Solve for x
    x = 278,441,368.07/10,913.06
  6. Step 6: Final answer
    x = 25,514.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.