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Finding the Third Proportional to 49,748.34 and 70,325.72

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Solution

The third proportional to 49,748.34 and 70,325.72 is: 99,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,748.34 : 70,325.72 = 70,325.72 : x
  2. Step 2: Convert to fraction form
    49,748.34/70,325.72 = 70,325.72/x
  3. Step 3: Cross multiply
    49,748.34x = 70,325.72 × 70,325.72
  4. Step 4: Simplify right side
    49,748.34x = 4,945,706,717.70
  5. Step 5: Solve for x
    x = 4,945,706,717.70/49,748.34
  6. Step 6: Final answer
    x = 99,414.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.