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Finding the Third Proportional to 10,130.85 and 16,277.52

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Solution

The third proportional to 10,130.85 and 16,277.52 is: 26,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.85 : 16,277.52 = 16,277.52 : x
  2. Step 2: Convert to fraction form
    10,130.85/16,277.52 = 16,277.52/x
  3. Step 3: Cross multiply
    10,130.85x = 16,277.52 × 16,277.52
  4. Step 4: Simplify right side
    10,130.85x = 264,957,642.09
  5. Step 5: Solve for x
    x = 264,957,642.09/10,130.85
  6. Step 6: Final answer
    x = 26,153.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.