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Finding the Third Proportional to 35,723.25 and 78,453

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Solution

The third proportional to 35,723.25 and 78,453 is: 172,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,723.25 : 78,453 = 78,453 : x
  2. Step 2: Convert to fraction form
    35,723.25/78,453 = 78,453/x
  3. Step 3: Cross multiply
    35,723.25x = 78,453 × 78,453
  4. Step 4: Simplify right side
    35,723.25x = 6,154,873,209
  5. Step 5: Solve for x
    x = 6,154,873,209/35,723.25
  6. Step 6: Final answer
    x = 172,293.20

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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.