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Finding the Third Proportional to 27,328.50 and 42,142.50

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Solution

The third proportional to 27,328.50 and 42,142.50 is: 64,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.50 : 42,142.50 = 42,142.50 : x
  2. Step 2: Convert to fraction form
    27,328.50/42,142.50 = 42,142.50/x
  3. Step 3: Cross multiply
    27,328.50x = 42,142.50 × 42,142.50
  4. Step 4: Simplify right side
    27,328.50x = 1,775,990,306.25
  5. Step 5: Solve for x
    x = 1,775,990,306.25/27,328.50
  6. Step 6: Final answer
    x = 64,986.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.