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Finding the Third Proportional to 25,528 and 38,320

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Solution

The third proportional to 25,528 and 38,320 is: 57,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,528 : 38,320 = 38,320 : x
  2. Step 2: Convert to fraction form
    25,528/38,320 = 38,320/x
  3. Step 3: Cross multiply
    25,528x = 38,320 × 38,320
  4. Step 4: Simplify right side
    25,528x = 1,468,422,400
  5. Step 5: Solve for x
    x = 1,468,422,400/25,528
  6. Step 6: Final answer
    x = 57,522.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.