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Finding the Third Proportional to 15,768.28 and 23,718.66

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Solution

The third proportional to 15,768.28 and 23,718.66 is: 35,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.28 : 23,718.66 = 23,718.66 : x
  2. Step 2: Convert to fraction form
    15,768.28/23,718.66 = 23,718.66/x
  3. Step 3: Cross multiply
    15,768.28x = 23,718.66 × 23,718.66
  4. Step 4: Simplify right side
    15,768.28x = 562,574,654.31
  5. Step 5: Solve for x
    x = 562,574,654.31/15,768.28
  6. Step 6: Final answer
    x = 35,677.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.