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Finding the Third Proportional to 38,014.50 and 59,632.50

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Solution

The third proportional to 38,014.50 and 59,632.50 is: 93,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.50 : 59,632.50 = 59,632.50 : x
  2. Step 2: Convert to fraction form
    38,014.50/59,632.50 = 59,632.50/x
  3. Step 3: Cross multiply
    38,014.50x = 59,632.50 × 59,632.50
  4. Step 4: Simplify right side
    38,014.50x = 3,556,035,056.25
  5. Step 5: Solve for x
    x = 3,556,035,056.25/38,014.50
  6. Step 6: Final answer
    x = 93,544.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.