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Finding the Third Proportional to 32,465.50 and 69,863

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Solution

The third proportional to 32,465.50 and 69,863 is: 150,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.50 : 69,863 = 69,863 : x
  2. Step 2: Convert to fraction form
    32,465.50/69,863 = 69,863/x
  3. Step 3: Cross multiply
    32,465.50x = 69,863 × 69,863
  4. Step 4: Simplify right side
    32,465.50x = 4,880,838,769
  5. Step 5: Solve for x
    x = 4,880,838,769/32,465.50
  6. Step 6: Final answer
    x = 150,339.25

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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.