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Finding the Third Proportional to 1,574.75 and 2,316.57

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Solution

The third proportional to 1,574.75 and 2,316.57 is: 3,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.75 : 2,316.57 = 2,316.57 : x
  2. Step 2: Convert to fraction form
    1,574.75/2,316.57 = 2,316.57/x
  3. Step 3: Cross multiply
    1,574.75x = 2,316.57 × 2,316.57
  4. Step 4: Simplify right side
    1,574.75x = 5,366,488.96
  5. Step 5: Solve for x
    x = 5,366,488.96/1,574.75
  6. Step 6: Final answer
    x = 3,407.83

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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.