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Finding the Third Proportional to 10,177.10 and 16,153.66

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Solution

The third proportional to 10,177.10 and 16,153.66 is: 25,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.10 : 16,153.66 = 16,153.66 : x
  2. Step 2: Convert to fraction form
    10,177.10/16,153.66 = 16,153.66/x
  3. Step 3: Cross multiply
    10,177.10x = 16,153.66 × 16,153.66
  4. Step 4: Simplify right side
    10,177.10x = 260,940,862.64
  5. Step 5: Solve for x
    x = 260,940,862.64/10,177.10
  6. Step 6: Final answer
    x = 25,640.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.