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Finding the Third Proportional to 38,421 and 59,335.50

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Solution

The third proportional to 38,421 and 59,335.50 is: 91,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 59,335.50 = 59,335.50 : x
  2. Step 2: Convert to fraction form
    38,421/59,335.50 = 59,335.50/x
  3. Step 3: Cross multiply
    38,421x = 59,335.50 × 59,335.50
  4. Step 4: Simplify right side
    38,421x = 3,520,701,560.25
  5. Step 5: Solve for x
    x = 3,520,701,560.25/38,421
  6. Step 6: Final answer
    x = 91,634.82

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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.