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Finding the Third Proportional to 32,421 and 47,388

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Solution

The third proportional to 32,421 and 47,388 is: 69,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421 : 47,388 = 47,388 : x
  2. Step 2: Convert to fraction form
    32,421/47,388 = 47,388/x
  3. Step 3: Cross multiply
    32,421x = 47,388 × 47,388
  4. Step 4: Simplify right side
    32,421x = 2,245,622,544
  5. Step 5: Solve for x
    x = 2,245,622,544/32,421
  6. Step 6: Final answer
    x = 69,264.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.