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Finding the Third Proportional to 2,484.19 and 5,264.53

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Solution

The third proportional to 2,484.19 and 5,264.53 is: 11,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.19 : 5,264.53 = 5,264.53 : x
  2. Step 2: Convert to fraction form
    2,484.19/5,264.53 = 5,264.53/x
  3. Step 3: Cross multiply
    2,484.19x = 5,264.53 × 5,264.53
  4. Step 4: Simplify right side
    2,484.19x = 27,715,289.28
  5. Step 5: Solve for x
    x = 27,715,289.28/2,484.19
  6. Step 6: Final answer
    x = 11,156.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.