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Finding the Third Proportional to 44,579 and 69,596

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Solution

The third proportional to 44,579 and 69,596 is: 108,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,579 : 69,596 = 69,596 : x
  2. Step 2: Convert to fraction form
    44,579/69,596 = 69,596/x
  3. Step 3: Cross multiply
    44,579x = 69,596 × 69,596
  4. Step 4: Simplify right side
    44,579x = 4,843,603,216
  5. Step 5: Solve for x
    x = 4,843,603,216/44,579
  6. Step 6: Final answer
    x = 108,652.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.