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Finding the Third Proportional to 949.71 and 1,437.61

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Solution

The third proportional to 949.71 and 1,437.61 is: 2,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.71 : 1,437.61 = 1,437.61 : x
  2. Step 2: Convert to fraction form
    949.71/1,437.61 = 1,437.61/x
  3. Step 3: Cross multiply
    949.71x = 1,437.61 × 1,437.61
  4. Step 4: Simplify right side
    949.71x = 2,066,720.72
  5. Step 5: Solve for x
    x = 2,066,720.72/949.71
  6. Step 6: Final answer
    x = 2,176.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.