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Finding the Third Proportional to 25,340.34 and 38,010.52

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Solution

The third proportional to 25,340.34 and 38,010.52 is: 57,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340.34 : 38,010.52 = 38,010.52 : x
  2. Step 2: Convert to fraction form
    25,340.34/38,010.52 = 38,010.52/x
  3. Step 3: Cross multiply
    25,340.34x = 38,010.52 × 38,010.52
  4. Step 4: Simplify right side
    25,340.34x = 1,444,799,298.08
  5. Step 5: Solve for x
    x = 1,444,799,298.08/25,340.34
  6. Step 6: Final answer
    x = 57,015.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.