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Finding the Third Proportional to 6,570 and 8,136

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Solution

The third proportional to 6,570 and 8,136 is: 10,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 8,136 = 8,136 : x
  2. Step 2: Convert to fraction form
    6,570/8,136 = 8,136/x
  3. Step 3: Cross multiply
    6,570x = 8,136 × 8,136
  4. Step 4: Simplify right side
    6,570x = 66,194,496
  5. Step 5: Solve for x
    x = 66,194,496/6,570
  6. Step 6: Final answer
    x = 10,075.27

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.