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Finding the Third Proportional to 34,815 and 60,697.50

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Solution

The third proportional to 34,815 and 60,697.50 is: 105,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,815 : 60,697.50 = 60,697.50 : x
  2. Step 2: Convert to fraction form
    34,815/60,697.50 = 60,697.50/x
  3. Step 3: Cross multiply
    34,815x = 60,697.50 × 60,697.50
  4. Step 4: Simplify right side
    34,815x = 3,684,186,506.25
  5. Step 5: Solve for x
    x = 3,684,186,506.25/34,815
  6. Step 6: Final answer
    x = 105,821.82

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.