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Finding the Third Proportional to 27,528 and 45,544

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Solution

The third proportional to 27,528 and 45,544 is: 75,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,528 : 45,544 = 45,544 : x
  2. Step 2: Convert to fraction form
    27,528/45,544 = 45,544/x
  3. Step 3: Cross multiply
    27,528x = 45,544 × 45,544
  4. Step 4: Simplify right side
    27,528x = 2,074,255,936
  5. Step 5: Solve for x
    x = 2,074,255,936/27,528
  6. Step 6: Final answer
    x = 75,350.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.