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Finding the Third Proportional to 38,289.59 and 59,356.55

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Solution

The third proportional to 38,289.59 and 59,356.55 is: 92,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289.59 : 59,356.55 = 59,356.55 : x
  2. Step 2: Convert to fraction form
    38,289.59/59,356.55 = 59,356.55/x
  3. Step 3: Cross multiply
    38,289.59x = 59,356.55 × 59,356.55
  4. Step 4: Simplify right side
    38,289.59x = 3,523,199,656.92
  5. Step 5: Solve for x
    x = 3,523,199,656.92/38,289.59
  6. Step 6: Final answer
    x = 92,014.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.