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Finding the Third Proportional to 2,394.88 and 3,707.65

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Solution

The third proportional to 2,394.88 and 3,707.65 is: 5,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.88 : 3,707.65 = 3,707.65 : x
  2. Step 2: Convert to fraction form
    2,394.88/3,707.65 = 3,707.65/x
  3. Step 3: Cross multiply
    2,394.88x = 3,707.65 × 3,707.65
  4. Step 4: Simplify right side
    2,394.88x = 13,746,656.94
  5. Step 5: Solve for x
    x = 13,746,656.94/2,394.88
  6. Step 6: Final answer
    x = 5,740.02

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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.