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Finding the Third Proportional to 2,350.13 and 3,088.69

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Solution

The third proportional to 2,350.13 and 3,088.69 is: 4,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.13 : 3,088.69 = 3,088.69 : x
  2. Step 2: Convert to fraction form
    2,350.13/3,088.69 = 3,088.69/x
  3. Step 3: Cross multiply
    2,350.13x = 3,088.69 × 3,088.69
  4. Step 4: Simplify right side
    2,350.13x = 9,539,990.47
  5. Step 5: Solve for x
    x = 9,539,990.47/2,350.13
  6. Step 6: Final answer
    x = 4,059.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.