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Finding the Third Proportional to 6,486.33 and 10,075.64

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Solution

The third proportional to 6,486.33 and 10,075.64 is: 15,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.33 : 10,075.64 = 10,075.64 : x
  2. Step 2: Convert to fraction form
    6,486.33/10,075.64 = 10,075.64/x
  3. Step 3: Cross multiply
    6,486.33x = 10,075.64 × 10,075.64
  4. Step 4: Simplify right side
    6,486.33x = 101,518,534.00
  5. Step 5: Solve for x
    x = 101,518,534.00/6,486.33
  6. Step 6: Final answer
    x = 15,651.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.