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Finding the Third Proportional to 9,752 and 13,899

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Solution

The third proportional to 9,752 and 13,899 is: 19,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752 : 13,899 = 13,899 : x
  2. Step 2: Convert to fraction form
    9,752/13,899 = 13,899/x
  3. Step 3: Cross multiply
    9,752x = 13,899 × 13,899
  4. Step 4: Simplify right side
    9,752x = 193,182,201
  5. Step 5: Solve for x
    x = 193,182,201/9,752
  6. Step 6: Final answer
    x = 19,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.