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Finding the Third Proportional to 16,780 and 35,503.75

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Solution

The third proportional to 16,780 and 35,503.75 is: 75,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 35,503.75 = 35,503.75 : x
  2. Step 2: Convert to fraction form
    16,780/35,503.75 = 35,503.75/x
  3. Step 3: Cross multiply
    16,780x = 35,503.75 × 35,503.75
  4. Step 4: Simplify right side
    16,780x = 1,260,516,264.06
  5. Step 5: Solve for x
    x = 1,260,516,264.06/16,780
  6. Step 6: Final answer
    x = 75,120.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.