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Finding the Third Proportional to 52,048.50 and 77,859

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Solution

The third proportional to 52,048.50 and 77,859 is: 116,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.50 : 77,859 = 77,859 : x
  2. Step 2: Convert to fraction form
    52,048.50/77,859 = 77,859/x
  3. Step 3: Cross multiply
    52,048.50x = 77,859 × 77,859
  4. Step 4: Simplify right side
    52,048.50x = 6,062,023,881
  5. Step 5: Solve for x
    x = 6,062,023,881/52,048.50
  6. Step 6: Final answer
    x = 116,468.75

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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.