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Finding the Third Proportional to 40,303.50 and 70,851

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Solution

The third proportional to 40,303.50 and 70,851 is: 124,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,303.50 : 70,851 = 70,851 : x
  2. Step 2: Convert to fraction form
    40,303.50/70,851 = 70,851/x
  3. Step 3: Cross multiply
    40,303.50x = 70,851 × 70,851
  4. Step 4: Simplify right side
    40,303.50x = 5,019,864,201
  5. Step 5: Solve for x
    x = 5,019,864,201/40,303.50
  6. Step 6: Final answer
    x = 124,551.57

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.