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Finding the Third Proportional to 9,810 and 23,157

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Solution

The third proportional to 9,810 and 23,157 is: 54,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 23,157 = 23,157 : x
  2. Step 2: Convert to fraction form
    9,810/23,157 = 23,157/x
  3. Step 3: Cross multiply
    9,810x = 23,157 × 23,157
  4. Step 4: Simplify right side
    9,810x = 536,246,649
  5. Step 5: Solve for x
    x = 536,246,649/9,810
  6. Step 6: Final answer
    x = 54,663.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.