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Finding the Third Proportional to 4,867 and 7,528

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Solution

The third proportional to 4,867 and 7,528 is: 11,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867 : 7,528 = 7,528 : x
  2. Step 2: Convert to fraction form
    4,867/7,528 = 7,528/x
  3. Step 3: Cross multiply
    4,867x = 7,528 × 7,528
  4. Step 4: Simplify right side
    4,867x = 56,670,784
  5. Step 5: Solve for x
    x = 56,670,784/4,867
  6. Step 6: Final answer
    x = 11,643.88

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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.