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Finding the Third Proportional to 3,130.31 and 4,813.59

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Solution

The third proportional to 3,130.31 and 4,813.59 is: 7,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.31 : 4,813.59 = 4,813.59 : x
  2. Step 2: Convert to fraction form
    3,130.31/4,813.59 = 4,813.59/x
  3. Step 3: Cross multiply
    3,130.31x = 4,813.59 × 4,813.59
  4. Step 4: Simplify right side
    3,130.31x = 23,170,684.79
  5. Step 5: Solve for x
    x = 23,170,684.79/3,130.31
  6. Step 6: Final answer
    x = 7,402.04

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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.