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Finding the Third Proportional to 15,979 and 23,803

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Solution

The third proportional to 15,979 and 23,803 is: 35,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,979 : 23,803 = 23,803 : x
  2. Step 2: Convert to fraction form
    15,979/23,803 = 23,803/x
  3. Step 3: Cross multiply
    15,979x = 23,803 × 23,803
  4. Step 4: Simplify right side
    15,979x = 566,582,809
  5. Step 5: Solve for x
    x = 566,582,809/15,979
  6. Step 6: Final answer
    x = 35,457.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.