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Finding the Third Proportional to 38,011.50 and 87,453

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Solution

The third proportional to 38,011.50 and 87,453 is: 201,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.50 : 87,453 = 87,453 : x
  2. Step 2: Convert to fraction form
    38,011.50/87,453 = 87,453/x
  3. Step 3: Cross multiply
    38,011.50x = 87,453 × 87,453
  4. Step 4: Simplify right side
    38,011.50x = 7,648,027,209
  5. Step 5: Solve for x
    x = 7,648,027,209/38,011.50
  6. Step 6: Final answer
    x = 201,202.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.