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Finding the Third Proportional to 29,605 and 45,014

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Solution

The third proportional to 29,605 and 45,014 is: 68,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605 : 45,014 = 45,014 : x
  2. Step 2: Convert to fraction form
    29,605/45,014 = 45,014/x
  3. Step 3: Cross multiply
    29,605x = 45,014 × 45,014
  4. Step 4: Simplify right side
    29,605x = 2,026,260,196
  5. Step 5: Solve for x
    x = 2,026,260,196/29,605
  6. Step 6: Final answer
    x = 68,443.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.