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Finding the Third Proportional to 2,421.14 and 3,726.42

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Solution

The third proportional to 2,421.14 and 3,726.42 is: 5,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.14 : 3,726.42 = 3,726.42 : x
  2. Step 2: Convert to fraction form
    2,421.14/3,726.42 = 3,726.42/x
  3. Step 3: Cross multiply
    2,421.14x = 3,726.42 × 3,726.42
  4. Step 4: Simplify right side
    2,421.14x = 13,886,219.99
  5. Step 5: Solve for x
    x = 13,886,219.99/2,421.14
  6. Step 6: Final answer
    x = 5,735.40

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Why These Related Problems?

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