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Finding the Third Proportional to 60,318 and 65,785.50

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Solution

The third proportional to 60,318 and 65,785.50 is: 71,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,318 : 65,785.50 = 65,785.50 : x
  2. Step 2: Convert to fraction form
    60,318/65,785.50 = 65,785.50/x
  3. Step 3: Cross multiply
    60,318x = 65,785.50 × 65,785.50
  4. Step 4: Simplify right side
    60,318x = 4,327,732,010.25
  5. Step 5: Solve for x
    x = 4,327,732,010.25/60,318
  6. Step 6: Final answer
    x = 71,748.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.