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Finding the Third Proportional to 15,461 and 23,334.75

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Solution

The third proportional to 15,461 and 23,334.75 is: 35,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461 : 23,334.75 = 23,334.75 : x
  2. Step 2: Convert to fraction form
    15,461/23,334.75 = 23,334.75/x
  3. Step 3: Cross multiply
    15,461x = 23,334.75 × 23,334.75
  4. Step 4: Simplify right side
    15,461x = 544,510,557.56
  5. Step 5: Solve for x
    x = 544,510,557.56/15,461
  6. Step 6: Final answer
    x = 35,218.33

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Why These Related Problems?

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