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Finding the Third Proportional to 14,034 and 32,487

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Solution

The third proportional to 14,034 and 32,487 is: 75,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034 : 32,487 = 32,487 : x
  2. Step 2: Convert to fraction form
    14,034/32,487 = 32,487/x
  3. Step 3: Cross multiply
    14,034x = 32,487 × 32,487
  4. Step 4: Simplify right side
    14,034x = 1,055,405,169
  5. Step 5: Solve for x
    x = 1,055,405,169/14,034
  6. Step 6: Final answer
    x = 75,203.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.