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Finding the Third Proportional to 9,906 and 15,770

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Solution

The third proportional to 9,906 and 15,770 is: 25,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 15,770 = 15,770 : x
  2. Step 2: Convert to fraction form
    9,906/15,770 = 15,770/x
  3. Step 3: Cross multiply
    9,906x = 15,770 × 15,770
  4. Step 4: Simplify right side
    9,906x = 248,692,900
  5. Step 5: Solve for x
    x = 248,692,900/9,906
  6. Step 6: Final answer
    x = 25,105.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.