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Finding the Third Proportional to 17,278.88 and 25,984.13

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Solution

The third proportional to 17,278.88 and 25,984.13 is: 39,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.88 : 25,984.13 = 25,984.13 : x
  2. Step 2: Convert to fraction form
    17,278.88/25,984.13 = 25,984.13/x
  3. Step 3: Cross multiply
    17,278.88x = 25,984.13 × 25,984.13
  4. Step 4: Simplify right side
    17,278.88x = 675,174,752.02
  5. Step 5: Solve for x
    x = 675,174,752.02/17,278.88
  6. Step 6: Final answer
    x = 39,075.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.