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Finding the Third Proportional to 31,448.25 and 42,734.25

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Solution

The third proportional to 31,448.25 and 42,734.25 is: 58,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.25 : 42,734.25 = 42,734.25 : x
  2. Step 2: Convert to fraction form
    31,448.25/42,734.25 = 42,734.25/x
  3. Step 3: Cross multiply
    31,448.25x = 42,734.25 × 42,734.25
  4. Step 4: Simplify right side
    31,448.25x = 1,826,216,123.06
  5. Step 5: Solve for x
    x = 1,826,216,123.06/31,448.25
  6. Step 6: Final answer
    x = 58,070.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.