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Finding the Third Proportional to 16,314.75 and 26,232.19

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Solution

The third proportional to 16,314.75 and 26,232.19 is: 42,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.75 : 26,232.19 = 26,232.19 : x
  2. Step 2: Convert to fraction form
    16,314.75/26,232.19 = 26,232.19/x
  3. Step 3: Cross multiply
    16,314.75x = 26,232.19 × 26,232.19
  4. Step 4: Simplify right side
    16,314.75x = 688,127,661.04
  5. Step 5: Solve for x
    x = 688,127,661.04/16,314.75
  6. Step 6: Final answer
    x = 42,178.25

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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.