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Finding the Third Proportional to 15,299 and 23,522

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Solution

The third proportional to 15,299 and 23,522 is: 36,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,299 : 23,522 = 23,522 : x
  2. Step 2: Convert to fraction form
    15,299/23,522 = 23,522/x
  3. Step 3: Cross multiply
    15,299x = 23,522 × 23,522
  4. Step 4: Simplify right side
    15,299x = 553,284,484
  5. Step 5: Solve for x
    x = 553,284,484/15,299
  6. Step 6: Final answer
    x = 36,164.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.