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Finding the Third Proportional to 2,032.13 and 2,970.75

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Solution

The third proportional to 2,032.13 and 2,970.75 is: 4,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.13 : 2,970.75 = 2,970.75 : x
  2. Step 2: Convert to fraction form
    2,032.13/2,970.75 = 2,970.75/x
  3. Step 3: Cross multiply
    2,032.13x = 2,970.75 × 2,970.75
  4. Step 4: Simplify right side
    2,032.13x = 8,825,355.56
  5. Step 5: Solve for x
    x = 8,825,355.56/2,032.13
  6. Step 6: Final answer
    x = 4,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.