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Finding the Third Proportional to 27,268.75 and 40,005.50

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Solution

The third proportional to 27,268.75 and 40,005.50 is: 58,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268.75 : 40,005.50 = 40,005.50 : x
  2. Step 2: Convert to fraction form
    27,268.75/40,005.50 = 40,005.50/x
  3. Step 3: Cross multiply
    27,268.75x = 40,005.50 × 40,005.50
  4. Step 4: Simplify right side
    27,268.75x = 1,600,440,030.25
  5. Step 5: Solve for x
    x = 1,600,440,030.25/27,268.75
  6. Step 6: Final answer
    x = 58,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.