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Finding the Third Proportional to 27,983 and 60,478

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Solution

The third proportional to 27,983 and 60,478 is: 130,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983 : 60,478 = 60,478 : x
  2. Step 2: Convert to fraction form
    27,983/60,478 = 60,478/x
  3. Step 3: Cross multiply
    27,983x = 60,478 × 60,478
  4. Step 4: Simplify right side
    27,983x = 3,657,588,484
  5. Step 5: Solve for x
    x = 3,657,588,484/27,983
  6. Step 6: Final answer
    x = 130,707.52

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Why These Related Problems?

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