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Finding the Third Proportional to 27,820 and 43,080

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Solution

The third proportional to 27,820 and 43,080 is: 66,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820 : 43,080 = 43,080 : x
  2. Step 2: Convert to fraction form
    27,820/43,080 = 43,080/x
  3. Step 3: Cross multiply
    27,820x = 43,080 × 43,080
  4. Step 4: Simplify right side
    27,820x = 1,855,886,400
  5. Step 5: Solve for x
    x = 1,855,886,400/27,820
  6. Step 6: Final answer
    x = 66,710.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.