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Finding the Third Proportional to 38,265 and 51,322.50

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Solution

The third proportional to 38,265 and 51,322.50 is: 68,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265 : 51,322.50 = 51,322.50 : x
  2. Step 2: Convert to fraction form
    38,265/51,322.50 = 51,322.50/x
  3. Step 3: Cross multiply
    38,265x = 51,322.50 × 51,322.50
  4. Step 4: Simplify right side
    38,265x = 2,633,999,006.25
  5. Step 5: Solve for x
    x = 2,633,999,006.25/38,265
  6. Step 6: Final answer
    x = 68,835.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.