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Finding the Third Proportional to 27,217.50 and 42,056.25

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Solution

The third proportional to 27,217.50 and 42,056.25 is: 64,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.50 : 42,056.25 = 42,056.25 : x
  2. Step 2: Convert to fraction form
    27,217.50/42,056.25 = 42,056.25/x
  3. Step 3: Cross multiply
    27,217.50x = 42,056.25 × 42,056.25
  4. Step 4: Simplify right side
    27,217.50x = 1,768,728,164.06
  5. Step 5: Solve for x
    x = 1,768,728,164.06/27,217.50
  6. Step 6: Final answer
    x = 64,984.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.