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Finding the Third Proportional to 48,586.50 and 77,274

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Solution

The third proportional to 48,586.50 and 77,274 is: 122,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586.50 : 77,274 = 77,274 : x
  2. Step 2: Convert to fraction form
    48,586.50/77,274 = 77,274/x
  3. Step 3: Cross multiply
    48,586.50x = 77,274 × 77,274
  4. Step 4: Simplify right side
    48,586.50x = 5,971,271,076
  5. Step 5: Solve for x
    x = 5,971,271,076/48,586.50
  6. Step 6: Final answer
    x = 122,899.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.