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Finding the Third Proportional to 25,113 and 37,993.50

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Solution

The third proportional to 25,113 and 37,993.50 is: 57,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113 : 37,993.50 = 37,993.50 : x
  2. Step 2: Convert to fraction form
    25,113/37,993.50 = 37,993.50/x
  3. Step 3: Cross multiply
    25,113x = 37,993.50 × 37,993.50
  4. Step 4: Simplify right side
    25,113x = 1,443,506,042.25
  5. Step 5: Solve for x
    x = 1,443,506,042.25/25,113
  6. Step 6: Final answer
    x = 57,480.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.