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Finding the Third Proportional to 32,814 and 49,252.50

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Solution

The third proportional to 32,814 and 49,252.50 is: 73,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814 : 49,252.50 = 49,252.50 : x
  2. Step 2: Convert to fraction form
    32,814/49,252.50 = 49,252.50/x
  3. Step 3: Cross multiply
    32,814x = 49,252.50 × 49,252.50
  4. Step 4: Simplify right side
    32,814x = 2,425,808,756.25
  5. Step 5: Solve for x
    x = 2,425,808,756.25/32,814
  6. Step 6: Final answer
    x = 73,926.03

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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.