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Finding the Third Proportional to 32,445 and 69,615

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Solution

The third proportional to 32,445 and 69,615 is: 149,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445 : 69,615 = 69,615 : x
  2. Step 2: Convert to fraction form
    32,445/69,615 = 69,615/x
  3. Step 3: Cross multiply
    32,445x = 69,615 × 69,615
  4. Step 4: Simplify right side
    32,445x = 4,846,248,225
  5. Step 5: Solve for x
    x = 4,846,248,225/32,445
  6. Step 6: Final answer
    x = 149,368.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.