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Finding the Third Proportional to 32,313 and 69,306

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Solution

The third proportional to 32,313 and 69,306 is: 148,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313 : 69,306 = 69,306 : x
  2. Step 2: Convert to fraction form
    32,313/69,306 = 69,306/x
  3. Step 3: Cross multiply
    32,313x = 69,306 × 69,306
  4. Step 4: Simplify right side
    32,313x = 4,803,321,636
  5. Step 5: Solve for x
    x = 4,803,321,636/32,313
  6. Step 6: Final answer
    x = 148,649.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.