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Finding the Third Proportional to 15,012.84 and 21,744.70

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Solution

The third proportional to 15,012.84 and 21,744.70 is: 31,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.84 : 21,744.70 = 21,744.70 : x
  2. Step 2: Convert to fraction form
    15,012.84/21,744.70 = 21,744.70/x
  3. Step 3: Cross multiply
    15,012.84x = 21,744.70 × 21,744.70
  4. Step 4: Simplify right side
    15,012.84x = 472,832,113.99
  5. Step 5: Solve for x
    x = 472,832,113.99/15,012.84
  6. Step 6: Final answer
    x = 31,495.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.