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Finding the Third Proportional to 1,130.16 and 2,422.64

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Solution

The third proportional to 1,130.16 and 2,422.64 is: 5,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.16 : 2,422.64 = 2,422.64 : x
  2. Step 2: Convert to fraction form
    1,130.16/2,422.64 = 2,422.64/x
  3. Step 3: Cross multiply
    1,130.16x = 2,422.64 × 2,422.64
  4. Step 4: Simplify right side
    1,130.16x = 5,869,201.79
  5. Step 5: Solve for x
    x = 5,869,201.79/1,130.16
  6. Step 6: Final answer
    x = 5,193.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.