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Finding the Third Proportional to 32,186 and 46,614

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Solution

The third proportional to 32,186 and 46,614 is: 67,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 46,614 = 46,614 : x
  2. Step 2: Convert to fraction form
    32,186/46,614 = 46,614/x
  3. Step 3: Cross multiply
    32,186x = 46,614 × 46,614
  4. Step 4: Simplify right side
    32,186x = 2,172,864,996
  5. Step 5: Solve for x
    x = 2,172,864,996/32,186
  6. Step 6: Final answer
    x = 67,509.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.