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Finding the Third Proportional to 14,744 and 35,633

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Solution

The third proportional to 14,744 and 35,633 is: 86,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744 : 35,633 = 35,633 : x
  2. Step 2: Convert to fraction form
    14,744/35,633 = 35,633/x
  3. Step 3: Cross multiply
    14,744x = 35,633 × 35,633
  4. Step 4: Simplify right side
    14,744x = 1,269,710,689
  5. Step 5: Solve for x
    x = 1,269,710,689/14,744
  6. Step 6: Final answer
    x = 86,117.11

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.