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Finding the Third Proportional to 38,265 and 59,479.50

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Solution

The third proportional to 38,265 and 59,479.50 is: 92,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265 : 59,479.50 = 59,479.50 : x
  2. Step 2: Convert to fraction form
    38,265/59,479.50 = 59,479.50/x
  3. Step 3: Cross multiply
    38,265x = 59,479.50 × 59,479.50
  4. Step 4: Simplify right side
    38,265x = 3,537,810,920.25
  5. Step 5: Solve for x
    x = 3,537,810,920.25/38,265
  6. Step 6: Final answer
    x = 92,455.53

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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.