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Finding the Third Proportional to 32,260 and 69,640

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Solution

The third proportional to 32,260 and 69,640 is: 150,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,260 : 69,640 = 69,640 : x
  2. Step 2: Convert to fraction form
    32,260/69,640 = 69,640/x
  3. Step 3: Cross multiply
    32,260x = 69,640 × 69,640
  4. Step 4: Simplify right side
    32,260x = 4,849,729,600
  5. Step 5: Solve for x
    x = 4,849,729,600/32,260
  6. Step 6: Final answer
    x = 150,332.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.