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Finding the Third Proportional to 6,184.13 and 9,329.63

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Solution

The third proportional to 6,184.13 and 9,329.63 is: 14,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.13 : 9,329.63 = 9,329.63 : x
  2. Step 2: Convert to fraction form
    6,184.13/9,329.63 = 9,329.63/x
  3. Step 3: Cross multiply
    6,184.13x = 9,329.63 × 9,329.63
  4. Step 4: Simplify right side
    6,184.13x = 87,041,902.64
  5. Step 5: Solve for x
    x = 87,041,902.64/6,184.13
  6. Step 6: Final answer
    x = 14,075.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.