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Finding the Third Proportional to 32,013 and 69,858

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Solution

The third proportional to 32,013 and 69,858 is: 152,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013 : 69,858 = 69,858 : x
  2. Step 2: Convert to fraction form
    32,013/69,858 = 69,858/x
  3. Step 3: Cross multiply
    32,013x = 69,858 × 69,858
  4. Step 4: Simplify right side
    32,013x = 4,880,140,164
  5. Step 5: Solve for x
    x = 4,880,140,164/32,013
  6. Step 6: Final answer
    x = 152,442.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.