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Finding the Third Proportional to 32,272 and 46,481

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Solution

The third proportional to 32,272 and 46,481 is: 66,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272 : 46,481 = 46,481 : x
  2. Step 2: Convert to fraction form
    32,272/46,481 = 46,481/x
  3. Step 3: Cross multiply
    32,272x = 46,481 × 46,481
  4. Step 4: Simplify right side
    32,272x = 2,160,483,361
  5. Step 5: Solve for x
    x = 2,160,483,361/32,272
  6. Step 6: Final answer
    x = 66,946.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.