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Finding the Third Proportional to 32,154.75 and 46,973.25

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Solution

The third proportional to 32,154.75 and 46,973.25 is: 68,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.75 : 46,973.25 = 46,973.25 : x
  2. Step 2: Convert to fraction form
    32,154.75/46,973.25 = 46,973.25/x
  3. Step 3: Cross multiply
    32,154.75x = 46,973.25 × 46,973.25
  4. Step 4: Simplify right side
    32,154.75x = 2,206,486,215.56
  5. Step 5: Solve for x
    x = 2,206,486,215.56/32,154.75
  6. Step 6: Final answer
    x = 68,620.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.