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Finding the Third Proportional to 34,569 and 56,173.50

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Solution

The third proportional to 34,569 and 56,173.50 is: 91,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569 : 56,173.50 = 56,173.50 : x
  2. Step 2: Convert to fraction form
    34,569/56,173.50 = 56,173.50/x
  3. Step 3: Cross multiply
    34,569x = 56,173.50 × 56,173.50
  4. Step 4: Simplify right side
    34,569x = 3,155,462,102.25
  5. Step 5: Solve for x
    x = 3,155,462,102.25/34,569
  6. Step 6: Final answer
    x = 91,280.11

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.