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Finding the Third Proportional to 27,670 and 39,776

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Solution

The third proportional to 27,670 and 39,776 is: 57,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670 : 39,776 = 39,776 : x
  2. Step 2: Convert to fraction form
    27,670/39,776 = 39,776/x
  3. Step 3: Cross multiply
    27,670x = 39,776 × 39,776
  4. Step 4: Simplify right side
    27,670x = 1,582,130,176
  5. Step 5: Solve for x
    x = 1,582,130,176/27,670
  6. Step 6: Final answer
    x = 57,178.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.