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Finding the Third Proportional to 27,350 and 64,527

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Solution

The third proportional to 27,350 and 64,527 is: 152,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350 : 64,527 = 64,527 : x
  2. Step 2: Convert to fraction form
    27,350/64,527 = 64,527/x
  3. Step 3: Cross multiply
    27,350x = 64,527 × 64,527
  4. Step 4: Simplify right side
    27,350x = 4,163,733,729
  5. Step 5: Solve for x
    x = 4,163,733,729/27,350
  6. Step 6: Final answer
    x = 152,238.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.