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Finding the Third Proportional to 14,822 and 34,989

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Solution

The third proportional to 14,822 and 34,989 is: 82,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822 : 34,989 = 34,989 : x
  2. Step 2: Convert to fraction form
    14,822/34,989 = 34,989/x
  3. Step 3: Cross multiply
    14,822x = 34,989 × 34,989
  4. Step 4: Simplify right side
    14,822x = 1,224,230,121
  5. Step 5: Solve for x
    x = 1,224,230,121/14,822
  6. Step 6: Final answer
    x = 82,595.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.