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Finding the Third Proportional to 35,319 and 83,113.50

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Solution

The third proportional to 35,319 and 83,113.50 is: 195,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319 : 83,113.50 = 83,113.50 : x
  2. Step 2: Convert to fraction form
    35,319/83,113.50 = 83,113.50/x
  3. Step 3: Cross multiply
    35,319x = 83,113.50 × 83,113.50
  4. Step 4: Simplify right side
    35,319x = 6,907,853,882.25
  5. Step 5: Solve for x
    x = 6,907,853,882.25/35,319
  6. Step 6: Final answer
    x = 195,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.