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Finding the Third Proportional to 15,963 and 25,501

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Solution

The third proportional to 15,963 and 25,501 is: 40,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963 : 25,501 = 25,501 : x
  2. Step 2: Convert to fraction form
    15,963/25,501 = 25,501/x
  3. Step 3: Cross multiply
    15,963x = 25,501 × 25,501
  4. Step 4: Simplify right side
    15,963x = 650,301,001
  5. Step 5: Solve for x
    x = 650,301,001/15,963
  6. Step 6: Final answer
    x = 40,738.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.