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Finding the Third Proportional to 15,876 and 25,113.38

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Solution

The third proportional to 15,876 and 25,113.38 is: 39,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 25,113.38 = 25,113.38 : x
  2. Step 2: Convert to fraction form
    15,876/25,113.38 = 25,113.38/x
  3. Step 3: Cross multiply
    15,876x = 25,113.38 × 25,113.38
  4. Step 4: Simplify right side
    15,876x = 630,681,603.89
  5. Step 5: Solve for x
    x = 630,681,603.89/15,876
  6. Step 6: Final answer
    x = 39,725.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.