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Finding the Third Proportional to 27,432 and 40,567.50

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Solution

The third proportional to 27,432 and 40,567.50 is: 59,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 40,567.50 = 40,567.50 : x
  2. Step 2: Convert to fraction form
    27,432/40,567.50 = 40,567.50/x
  3. Step 3: Cross multiply
    27,432x = 40,567.50 × 40,567.50
  4. Step 4: Simplify right side
    27,432x = 1,645,722,056.25
  5. Step 5: Solve for x
    x = 1,645,722,056.25/27,432
  6. Step 6: Final answer
    x = 59,992.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.