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Finding the Third Proportional to 15,288 and 23,964

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Solution

The third proportional to 15,288 and 23,964 is: 37,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288 : 23,964 = 23,964 : x
  2. Step 2: Convert to fraction form
    15,288/23,964 = 23,964/x
  3. Step 3: Cross multiply
    15,288x = 23,964 × 23,964
  4. Step 4: Simplify right side
    15,288x = 574,273,296
  5. Step 5: Solve for x
    x = 574,273,296/15,288
  6. Step 6: Final answer
    x = 37,563.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.