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Finding the Third Proportional to 10,072.16 and 15,146.68

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Solution

The third proportional to 10,072.16 and 15,146.68 is: 22,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.16 : 15,146.68 = 15,146.68 : x
  2. Step 2: Convert to fraction form
    10,072.16/15,146.68 = 15,146.68/x
  3. Step 3: Cross multiply
    10,072.16x = 15,146.68 × 15,146.68
  4. Step 4: Simplify right side
    10,072.16x = 229,422,023.89
  5. Step 5: Solve for x
    x = 229,422,023.89/10,072.16
  6. Step 6: Final answer
    x = 22,777.84

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Why These Related Problems?

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