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Finding the Third Proportional to 16,534.13 and 24,950.25

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Solution

The third proportional to 16,534.13 and 24,950.25 is: 37,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.13 : 24,950.25 = 24,950.25 : x
  2. Step 2: Convert to fraction form
    16,534.13/24,950.25 = 24,950.25/x
  3. Step 3: Cross multiply
    16,534.13x = 24,950.25 × 24,950.25
  4. Step 4: Simplify right side
    16,534.13x = 622,514,975.06
  5. Step 5: Solve for x
    x = 622,514,975.06/16,534.13
  6. Step 6: Final answer
    x = 37,650.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.