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Finding the Third Proportional to 28,297 and 38,293.50

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Solution

The third proportional to 28,297 and 38,293.50 is: 51,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,297 : 38,293.50 = 38,293.50 : x
  2. Step 2: Convert to fraction form
    28,297/38,293.50 = 38,293.50/x
  3. Step 3: Cross multiply
    28,297x = 38,293.50 × 38,293.50
  4. Step 4: Simplify right side
    28,297x = 1,466,392,142.25
  5. Step 5: Solve for x
    x = 1,466,392,142.25/28,297
  6. Step 6: Final answer
    x = 51,821.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.