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Finding the Third Proportional to 39,229 and 59,210

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Solution

The third proportional to 39,229 and 59,210 is: 89,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,229 : 59,210 = 59,210 : x
  2. Step 2: Convert to fraction form
    39,229/59,210 = 59,210/x
  3. Step 3: Cross multiply
    39,229x = 59,210 × 59,210
  4. Step 4: Simplify right side
    39,229x = 3,505,824,100
  5. Step 5: Solve for x
    x = 3,505,824,100/39,229
  6. Step 6: Final answer
    x = 89,368.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.