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Finding the Third Proportional to 39,518.50 and 70,265

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Solution

The third proportional to 39,518.50 and 70,265 is: 124,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,518.50 : 70,265 = 70,265 : x
  2. Step 2: Convert to fraction form
    39,518.50/70,265 = 70,265/x
  3. Step 3: Cross multiply
    39,518.50x = 70,265 × 70,265
  4. Step 4: Simplify right side
    39,518.50x = 4,937,170,225
  5. Step 5: Solve for x
    x = 4,937,170,225/39,518.50
  6. Step 6: Final answer
    x = 124,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.