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Finding the Third Proportional to 29,319 and 69,142.50

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Solution

The third proportional to 29,319 and 69,142.50 is: 163,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319 : 69,142.50 = 69,142.50 : x
  2. Step 2: Convert to fraction form
    29,319/69,142.50 = 69,142.50/x
  3. Step 3: Cross multiply
    29,319x = 69,142.50 × 69,142.50
  4. Step 4: Simplify right side
    29,319x = 4,780,685,306.25
  5. Step 5: Solve for x
    x = 4,780,685,306.25/29,319
  6. Step 6: Final answer
    x = 163,057.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.