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Finding the Third Proportional to 27,528 and 38,303

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Solution

The third proportional to 27,528 and 38,303 is: 53,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,528 : 38,303 = 38,303 : x
  2. Step 2: Convert to fraction form
    27,528/38,303 = 38,303/x
  3. Step 3: Cross multiply
    27,528x = 38,303 × 38,303
  4. Step 4: Simplify right side
    27,528x = 1,467,119,809
  5. Step 5: Solve for x
    x = 1,467,119,809/27,528
  6. Step 6: Final answer
    x = 53,295.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.