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Finding the Third Proportional to 7,740 and 18,657

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Solution

The third proportional to 7,740 and 18,657 is: 44,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740 : 18,657 = 18,657 : x
  2. Step 2: Convert to fraction form
    7,740/18,657 = 18,657/x
  3. Step 3: Cross multiply
    7,740x = 18,657 × 18,657
  4. Step 4: Simplify right side
    7,740x = 348,083,649
  5. Step 5: Solve for x
    x = 348,083,649/7,740
  6. Step 6: Final answer
    x = 44,972.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.