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Finding the Third Proportional to 9,744 and 18,528

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Solution

The third proportional to 9,744 and 18,528 is: 35,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 18,528 = 18,528 : x
  2. Step 2: Convert to fraction form
    9,744/18,528 = 18,528/x
  3. Step 3: Cross multiply
    9,744x = 18,528 × 18,528
  4. Step 4: Simplify right side
    9,744x = 343,286,784
  5. Step 5: Solve for x
    x = 343,286,784/9,744
  6. Step 6: Final answer
    x = 35,230.58

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.