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Finding the Third Proportional to 8,075.53 and 17,319.66

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Solution

The third proportional to 8,075.53 and 17,319.66 is: 37,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.53 : 17,319.66 = 17,319.66 : x
  2. Step 2: Convert to fraction form
    8,075.53/17,319.66 = 17,319.66/x
  3. Step 3: Cross multiply
    8,075.53x = 17,319.66 × 17,319.66
  4. Step 4: Simplify right side
    8,075.53x = 299,970,492.62
  5. Step 5: Solve for x
    x = 299,970,492.62/8,075.53
  6. Step 6: Final answer
    x = 37,145.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.