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Finding the Third Proportional to 6,506 and 8,527

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Solution

The third proportional to 6,506 and 8,527 is: 11,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 8,527 = 8,527 : x
  2. Step 2: Convert to fraction form
    6,506/8,527 = 8,527/x
  3. Step 3: Cross multiply
    6,506x = 8,527 × 8,527
  4. Step 4: Simplify right side
    6,506x = 72,709,729
  5. Step 5: Solve for x
    x = 72,709,729/6,506
  6. Step 6: Final answer
    x = 11,175.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.