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Finding the Third Proportional to 10,610.37 and 16,146.21

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Solution

The third proportional to 10,610.37 and 16,146.21 is: 24,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.37 : 16,146.21 = 16,146.21 : x
  2. Step 2: Convert to fraction form
    10,610.37/16,146.21 = 16,146.21/x
  3. Step 3: Cross multiply
    10,610.37x = 16,146.21 × 16,146.21
  4. Step 4: Simplify right side
    10,610.37x = 260,700,127.64
  5. Step 5: Solve for x
    x = 260,700,127.64/10,610.37
  6. Step 6: Final answer
    x = 24,570.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.