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Finding the Third Proportional to 38,224 and 56,210

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Solution

The third proportional to 38,224 and 56,210 is: 82,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224 : 56,210 = 56,210 : x
  2. Step 2: Convert to fraction form
    38,224/56,210 = 56,210/x
  3. Step 3: Cross multiply
    38,224x = 56,210 × 56,210
  4. Step 4: Simplify right side
    38,224x = 3,159,564,100
  5. Step 5: Solve for x
    x = 3,159,564,100/38,224
  6. Step 6: Final answer
    x = 82,659.17

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