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Finding the Third Proportional to 5,824 and 15,312

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Solution

The third proportional to 5,824 and 15,312 is: 40,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 15,312 = 15,312 : x
  2. Step 2: Convert to fraction form
    5,824/15,312 = 15,312/x
  3. Step 3: Cross multiply
    5,824x = 15,312 × 15,312
  4. Step 4: Simplify right side
    5,824x = 234,457,344
  5. Step 5: Solve for x
    x = 234,457,344/5,824
  6. Step 6: Final answer
    x = 40,257.10

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.