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Finding the Third Proportional to 15,873.50 and 25,114

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Solution

The third proportional to 15,873.50 and 25,114 is: 39,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.50 : 25,114 = 25,114 : x
  2. Step 2: Convert to fraction form
    15,873.50/25,114 = 25,114/x
  3. Step 3: Cross multiply
    15,873.50x = 25,114 × 25,114
  4. Step 4: Simplify right side
    15,873.50x = 630,712,996
  5. Step 5: Solve for x
    x = 630,712,996/15,873.50
  6. Step 6: Final answer
    x = 39,733.71

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Why These Related Problems?

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