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Finding the Third Proportional to 38,792 and 59,315.50

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Solution

The third proportional to 38,792 and 59,315.50 is: 90,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,792 : 59,315.50 = 59,315.50 : x
  2. Step 2: Convert to fraction form
    38,792/59,315.50 = 59,315.50/x
  3. Step 3: Cross multiply
    38,792x = 59,315.50 × 59,315.50
  4. Step 4: Simplify right side
    38,792x = 3,518,328,540.25
  5. Step 5: Solve for x
    x = 3,518,328,540.25/38,792
  6. Step 6: Final answer
    x = 90,697.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.