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Finding the Third Proportional to 39,210 and 52,684.50

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Solution

The third proportional to 39,210 and 52,684.50 is: 70,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,210 : 52,684.50 = 52,684.50 : x
  2. Step 2: Convert to fraction form
    39,210/52,684.50 = 52,684.50/x
  3. Step 3: Cross multiply
    39,210x = 52,684.50 × 52,684.50
  4. Step 4: Simplify right side
    39,210x = 2,775,656,540.25
  5. Step 5: Solve for x
    x = 2,775,656,540.25/39,210
  6. Step 6: Final answer
    x = 70,789.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.