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Finding the Third Proportional to 38,342.50 and 59,224

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Solution

The third proportional to 38,342.50 and 59,224 is: 91,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.50 : 59,224 = 59,224 : x
  2. Step 2: Convert to fraction form
    38,342.50/59,224 = 59,224/x
  3. Step 3: Cross multiply
    38,342.50x = 59,224 × 59,224
  4. Step 4: Simplify right side
    38,342.50x = 3,507,482,176
  5. Step 5: Solve for x
    x = 3,507,482,176/38,342.50
  6. Step 6: Final answer
    x = 91,477.66

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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.