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Finding the Third Proportional to 32,812.88 and 49,209.19

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Solution

The third proportional to 32,812.88 and 49,209.19 is: 73,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.88 : 49,209.19 = 49,209.19 : x
  2. Step 2: Convert to fraction form
    32,812.88/49,209.19 = 49,209.19/x
  3. Step 3: Cross multiply
    32,812.88x = 49,209.19 × 49,209.19
  4. Step 4: Simplify right side
    32,812.88x = 2,421,544,134.41
  5. Step 5: Solve for x
    x = 2,421,544,134.41/32,812.88
  6. Step 6: Final answer
    x = 73,798.60

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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.