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Finding the Third Proportional to 2,454.48 and 5,298.14

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Solution

The third proportional to 2,454.48 and 5,298.14 is: 11,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.48 : 5,298.14 = 5,298.14 : x
  2. Step 2: Convert to fraction form
    2,454.48/5,298.14 = 5,298.14/x
  3. Step 3: Cross multiply
    2,454.48x = 5,298.14 × 5,298.14
  4. Step 4: Simplify right side
    2,454.48x = 28,070,325.13
  5. Step 5: Solve for x
    x = 28,070,325.13/2,454.48
  6. Step 6: Final answer
    x = 11,436.35

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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.