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Finding the Third Proportional to 32,574 and 70,800

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Solution

The third proportional to 32,574 and 70,800 is: 153,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574 : 70,800 = 70,800 : x
  2. Step 2: Convert to fraction form
    32,574/70,800 = 70,800/x
  3. Step 3: Cross multiply
    32,574x = 70,800 × 70,800
  4. Step 4: Simplify right side
    32,574x = 5,012,640,000
  5. Step 5: Solve for x
    x = 5,012,640,000/32,574
  6. Step 6: Final answer
    x = 153,884.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.