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Finding the Third Proportional to 15,810 and 23,819.25

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Solution

The third proportional to 15,810 and 23,819.25 is: 35,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810 : 23,819.25 = 23,819.25 : x
  2. Step 2: Convert to fraction form
    15,810/23,819.25 = 23,819.25/x
  3. Step 3: Cross multiply
    15,810x = 23,819.25 × 23,819.25
  4. Step 4: Simplify right side
    15,810x = 567,356,670.56
  5. Step 5: Solve for x
    x = 567,356,670.56/15,810
  6. Step 6: Final answer
    x = 35,885.94

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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.