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Finding the Third Proportional to 27,991 and 42,256.50

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Solution

The third proportional to 27,991 and 42,256.50 is: 63,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991 : 42,256.50 = 42,256.50 : x
  2. Step 2: Convert to fraction form
    27,991/42,256.50 = 42,256.50/x
  3. Step 3: Cross multiply
    27,991x = 42,256.50 × 42,256.50
  4. Step 4: Simplify right side
    27,991x = 1,785,611,792.25
  5. Step 5: Solve for x
    x = 1,785,611,792.25/27,991
  6. Step 6: Final answer
    x = 63,792.35

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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.