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Finding the Third Proportional to 31,579.88 and 48,529.13

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Solution

The third proportional to 31,579.88 and 48,529.13 is: 74,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,579.88 : 48,529.13 = 48,529.13 : x
  2. Step 2: Convert to fraction form
    31,579.88/48,529.13 = 48,529.13/x
  3. Step 3: Cross multiply
    31,579.88x = 48,529.13 × 48,529.13
  4. Step 4: Simplify right side
    31,579.88x = 2,355,075,973.27
  5. Step 5: Solve for x
    x = 2,355,075,973.27/31,579.88
  6. Step 6: Final answer
    x = 74,575.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.