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Finding the Third Proportional to 2,403.84 and 3,707.86

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Solution

The third proportional to 2,403.84 and 3,707.86 is: 5,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.84 : 3,707.86 = 3,707.86 : x
  2. Step 2: Convert to fraction form
    2,403.84/3,707.86 = 3,707.86/x
  3. Step 3: Cross multiply
    2,403.84x = 3,707.86 × 3,707.86
  4. Step 4: Simplify right side
    2,403.84x = 13,748,221.14
  5. Step 5: Solve for x
    x = 13,748,221.14/2,403.84
  6. Step 6: Final answer
    x = 5,719.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.