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Finding the Third Proportional to 31,594.50 and 48,444.75

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Solution

The third proportional to 31,594.50 and 48,444.75 is: 74,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.50 : 48,444.75 = 48,444.75 : x
  2. Step 2: Convert to fraction form
    31,594.50/48,444.75 = 48,444.75/x
  3. Step 3: Cross multiply
    31,594.50x = 48,444.75 × 48,444.75
  4. Step 4: Simplify right side
    31,594.50x = 2,346,893,802.56
  5. Step 5: Solve for x
    x = 2,346,893,802.56/31,594.50
  6. Step 6: Final answer
    x = 74,281.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.