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Finding the Third Proportional to 40,548 and 60,657

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Solution

The third proportional to 40,548 and 60,657 is: 90,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,548 : 60,657 = 60,657 : x
  2. Step 2: Convert to fraction form
    40,548/60,657 = 60,657/x
  3. Step 3: Cross multiply
    40,548x = 60,657 × 60,657
  4. Step 4: Simplify right side
    40,548x = 3,679,271,649
  5. Step 5: Solve for x
    x = 3,679,271,649/40,548
  6. Step 6: Final answer
    x = 90,738.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.