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Finding the Third Proportional to 18,568 and 23,528

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Solution

The third proportional to 18,568 and 23,528 is: 29,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568 : 23,528 = 23,528 : x
  2. Step 2: Convert to fraction form
    18,568/23,528 = 23,528/x
  3. Step 3: Cross multiply
    18,568x = 23,528 × 23,528
  4. Step 4: Simplify right side
    18,568x = 553,566,784
  5. Step 5: Solve for x
    x = 553,566,784/18,568
  6. Step 6: Final answer
    x = 29,812.95

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.