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Finding the Third Proportional to 9,883 and 15,391.50

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Solution

The third proportional to 9,883 and 15,391.50 is: 23,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883 : 15,391.50 = 15,391.50 : x
  2. Step 2: Convert to fraction form
    9,883/15,391.50 = 15,391.50/x
  3. Step 3: Cross multiply
    9,883x = 15,391.50 × 15,391.50
  4. Step 4: Simplify right side
    9,883x = 236,898,272.25
  5. Step 5: Solve for x
    x = 236,898,272.25/9,883
  6. Step 6: Final answer
    x = 23,970.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.