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Finding the Third Proportional to 15,024 and 31,464

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Solution

The third proportional to 15,024 and 31,464 is: 65,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 31,464 = 31,464 : x
  2. Step 2: Convert to fraction form
    15,024/31,464 = 31,464/x
  3. Step 3: Cross multiply
    15,024x = 31,464 × 31,464
  4. Step 4: Simplify right side
    15,024x = 989,983,296
  5. Step 5: Solve for x
    x = 989,983,296/15,024
  6. Step 6: Final answer
    x = 65,893.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.