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Finding the Third Proportional to 5,700.69 and 9,106.75

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Solution

The third proportional to 5,700.69 and 9,106.75 is: 14,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.69 : 9,106.75 = 9,106.75 : x
  2. Step 2: Convert to fraction form
    5,700.69/9,106.75 = 9,106.75/x
  3. Step 3: Cross multiply
    5,700.69x = 9,106.75 × 9,106.75
  4. Step 4: Simplify right side
    5,700.69x = 82,932,895.56
  5. Step 5: Solve for x
    x = 82,932,895.56/5,700.69
  6. Step 6: Final answer
    x = 14,547.88

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.