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Finding the Third Proportional to 38,284 and 56,090

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Solution

The third proportional to 38,284 and 56,090 is: 82,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284 : 56,090 = 56,090 : x
  2. Step 2: Convert to fraction form
    38,284/56,090 = 56,090/x
  3. Step 3: Cross multiply
    38,284x = 56,090 × 56,090
  4. Step 4: Simplify right side
    38,284x = 3,146,088,100
  5. Step 5: Solve for x
    x = 3,146,088,100/38,284
  6. Step 6: Final answer
    x = 82,177.62

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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.