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Finding the Third Proportional to 9,770 and 15,122

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Solution

The third proportional to 9,770 and 15,122 is: 23,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 15,122 = 15,122 : x
  2. Step 2: Convert to fraction form
    9,770/15,122 = 15,122/x
  3. Step 3: Cross multiply
    9,770x = 15,122 × 15,122
  4. Step 4: Simplify right side
    9,770x = 228,674,884
  5. Step 5: Solve for x
    x = 228,674,884/9,770
  6. Step 6: Final answer
    x = 23,405.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.