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Finding the Third Proportional to 16,448.75 and 36,177.75

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Solution

The third proportional to 16,448.75 and 36,177.75 is: 79,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.75 : 36,177.75 = 36,177.75 : x
  2. Step 2: Convert to fraction form
    16,448.75/36,177.75 = 36,177.75/x
  3. Step 3: Cross multiply
    16,448.75x = 36,177.75 × 36,177.75
  4. Step 4: Simplify right side
    16,448.75x = 1,308,829,595.06
  5. Step 5: Solve for x
    x = 1,308,829,595.06/16,448.75
  6. Step 6: Final answer
    x = 79,570.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.