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Finding the Third Proportional to 10,756.13 and 14,527.69

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Solution

The third proportional to 10,756.13 and 14,527.69 is: 19,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.13 : 14,527.69 = 14,527.69 : x
  2. Step 2: Convert to fraction form
    10,756.13/14,527.69 = 14,527.69/x
  3. Step 3: Cross multiply
    10,756.13x = 14,527.69 × 14,527.69
  4. Step 4: Simplify right side
    10,756.13x = 211,053,704.10
  5. Step 5: Solve for x
    x = 211,053,704.10/10,756.13
  6. Step 6: Final answer
    x = 19,621.72

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