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Finding the Third Proportional to 32,388 and 47,515.50

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Solution

The third proportional to 32,388 and 47,515.50 is: 69,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388 : 47,515.50 = 47,515.50 : x
  2. Step 2: Convert to fraction form
    32,388/47,515.50 = 47,515.50/x
  3. Step 3: Cross multiply
    32,388x = 47,515.50 × 47,515.50
  4. Step 4: Simplify right side
    32,388x = 2,257,722,740.25
  5. Step 5: Solve for x
    x = 2,257,722,740.25/32,388
  6. Step 6: Final answer
    x = 69,708.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.