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Finding the Third Proportional to 37,215 and 55,829.25

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Solution

The third proportional to 37,215 and 55,829.25 is: 83,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,215 : 55,829.25 = 55,829.25 : x
  2. Step 2: Convert to fraction form
    37,215/55,829.25 = 55,829.25/x
  3. Step 3: Cross multiply
    37,215x = 55,829.25 × 55,829.25
  4. Step 4: Simplify right side
    37,215x = 3,116,905,155.56
  5. Step 5: Solve for x
    x = 3,116,905,155.56/37,215
  6. Step 6: Final answer
    x = 83,754.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.