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Finding the Third Proportional to 38,041.50 and 59,365

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Solution

The third proportional to 38,041.50 and 59,365 is: 92,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,041.50 : 59,365 = 59,365 : x
  2. Step 2: Convert to fraction form
    38,041.50/59,365 = 59,365/x
  3. Step 3: Cross multiply
    38,041.50x = 59,365 × 59,365
  4. Step 4: Simplify right side
    38,041.50x = 3,524,203,225
  5. Step 5: Solve for x
    x = 3,524,203,225/38,041.50
  6. Step 6: Final answer
    x = 92,641.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.