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Finding the Third Proportional to 51,948 and 77,983

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Solution

The third proportional to 51,948 and 77,983 is: 117,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 77,983 = 77,983 : x
  2. Step 2: Convert to fraction form
    51,948/77,983 = 77,983/x
  3. Step 3: Cross multiply
    51,948x = 77,983 × 77,983
  4. Step 4: Simplify right side
    51,948x = 6,081,348,289
  5. Step 5: Solve for x
    x = 6,081,348,289/51,948
  6. Step 6: Final answer
    x = 117,066.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.