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Finding the Third Proportional to 27,237 and 42,799.50

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Solution

The third proportional to 27,237 and 42,799.50 is: 67,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,237 : 42,799.50 = 42,799.50 : x
  2. Step 2: Convert to fraction form
    27,237/42,799.50 = 42,799.50/x
  3. Step 3: Cross multiply
    27,237x = 42,799.50 × 42,799.50
  4. Step 4: Simplify right side
    27,237x = 1,831,797,200.25
  5. Step 5: Solve for x
    x = 1,831,797,200.25/27,237
  6. Step 6: Final answer
    x = 67,254.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.