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Finding the Third Proportional to 38,322 and 63,328.50

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Solution

The third proportional to 38,322 and 63,328.50 is: 104,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322 : 63,328.50 = 63,328.50 : x
  2. Step 2: Convert to fraction form
    38,322/63,328.50 = 63,328.50/x
  3. Step 3: Cross multiply
    38,322x = 63,328.50 × 63,328.50
  4. Step 4: Simplify right side
    38,322x = 4,010,498,912.25
  5. Step 5: Solve for x
    x = 4,010,498,912.25/38,322
  6. Step 6: Final answer
    x = 104,652.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.