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Finding the Third Proportional to 27,776 and 61,090

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Solution

The third proportional to 27,776 and 61,090 is: 134,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776 : 61,090 = 61,090 : x
  2. Step 2: Convert to fraction form
    27,776/61,090 = 61,090/x
  3. Step 3: Cross multiply
    27,776x = 61,090 × 61,090
  4. Step 4: Simplify right side
    27,776x = 3,731,988,100
  5. Step 5: Solve for x
    x = 3,731,988,100/27,776
  6. Step 6: Final answer
    x = 134,360.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.