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Finding the Third Proportional to 16,129.13 and 23,019.19

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Solution

The third proportional to 16,129.13 and 23,019.19 is: 32,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.13 : 23,019.19 = 23,019.19 : x
  2. Step 2: Convert to fraction form
    16,129.13/23,019.19 = 23,019.19/x
  3. Step 3: Cross multiply
    16,129.13x = 23,019.19 × 23,019.19
  4. Step 4: Simplify right side
    16,129.13x = 529,882,993.16
  5. Step 5: Solve for x
    x = 529,882,993.16/16,129.13
  6. Step 6: Final answer
    x = 32,852.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.