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Finding the Third Proportional to 27,015 and 40,894.50

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Solution

The third proportional to 27,015 and 40,894.50 is: 61,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015 : 40,894.50 = 40,894.50 : x
  2. Step 2: Convert to fraction form
    27,015/40,894.50 = 40,894.50/x
  3. Step 3: Cross multiply
    27,015x = 40,894.50 × 40,894.50
  4. Step 4: Simplify right side
    27,015x = 1,672,360,130.25
  5. Step 5: Solve for x
    x = 1,672,360,130.25/27,015
  6. Step 6: Final answer
    x = 61,904.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.