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Finding the Third Proportional to 6,497 and 10,075.50

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Solution

The third proportional to 6,497 and 10,075.50 is: 15,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497 : 10,075.50 = 10,075.50 : x
  2. Step 2: Convert to fraction form
    6,497/10,075.50 = 10,075.50/x
  3. Step 3: Cross multiply
    6,497x = 10,075.50 × 10,075.50
  4. Step 4: Simplify right side
    6,497x = 101,515,700.25
  5. Step 5: Solve for x
    x = 101,515,700.25/6,497
  6. Step 6: Final answer
    x = 15,625.01

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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.