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Finding the Third Proportional to 4,160 and 9,157

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Solution

The third proportional to 4,160 and 9,157 is: 20,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 9,157 = 9,157 : x
  2. Step 2: Convert to fraction form
    4,160/9,157 = 9,157/x
  3. Step 3: Cross multiply
    4,160x = 9,157 × 9,157
  4. Step 4: Simplify right side
    4,160x = 83,850,649
  5. Step 5: Solve for x
    x = 83,850,649/4,160
  6. Step 6: Final answer
    x = 20,156.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.