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Finding the Third Proportional to 27,808 and 60,090

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Solution

The third proportional to 27,808 and 60,090 is: 129,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 60,090 = 60,090 : x
  2. Step 2: Convert to fraction form
    27,808/60,090 = 60,090/x
  3. Step 3: Cross multiply
    27,808x = 60,090 × 60,090
  4. Step 4: Simplify right side
    27,808x = 3,610,808,100
  5. Step 5: Solve for x
    x = 3,610,808,100/27,808
  6. Step 6: Final answer
    x = 129,847.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.