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Finding the Third Proportional to 32,313 and 47,406

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Solution

The third proportional to 32,313 and 47,406 is: 69,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313 : 47,406 = 47,406 : x
  2. Step 2: Convert to fraction form
    32,313/47,406 = 47,406/x
  3. Step 3: Cross multiply
    32,313x = 47,406 × 47,406
  4. Step 4: Simplify right side
    32,313x = 2,247,328,836
  5. Step 5: Solve for x
    x = 2,247,328,836/32,313
  6. Step 6: Final answer
    x = 69,548.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.