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Finding the Third Proportional to 1,541.81 and 2,390.91

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Solution

The third proportional to 1,541.81 and 2,390.91 is: 3,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.81 : 2,390.91 = 2,390.91 : x
  2. Step 2: Convert to fraction form
    1,541.81/2,390.91 = 2,390.91/x
  3. Step 3: Cross multiply
    1,541.81x = 2,390.91 × 2,390.91
  4. Step 4: Simplify right side
    1,541.81x = 5,716,432.70
  5. Step 5: Solve for x
    x = 5,716,432.70/1,541.81
  6. Step 6: Final answer
    x = 3,707.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.