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Finding the Third Proportional to 14,998 and 34,721

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Solution

The third proportional to 14,998 and 34,721 is: 80,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998 : 34,721 = 34,721 : x
  2. Step 2: Convert to fraction form
    14,998/34,721 = 34,721/x
  3. Step 3: Cross multiply
    14,998x = 34,721 × 34,721
  4. Step 4: Simplify right side
    14,998x = 1,205,547,841
  5. Step 5: Solve for x
    x = 1,205,547,841/14,998
  6. Step 6: Final answer
    x = 80,380.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.