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Finding the Third Proportional to 1,708.13 and 3,685.88

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Solution

The third proportional to 1,708.13 and 3,685.88 is: 7,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.13 : 3,685.88 = 3,685.88 : x
  2. Step 2: Convert to fraction form
    1,708.13/3,685.88 = 3,685.88/x
  3. Step 3: Cross multiply
    1,708.13x = 3,685.88 × 3,685.88
  4. Step 4: Simplify right side
    1,708.13x = 13,585,674.52
  5. Step 5: Solve for x
    x = 13,585,674.52/1,708.13
  6. Step 6: Final answer
    x = 7,953.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.