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Finding the Third Proportional to 61,615.69 and 68,095.69

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Solution

The third proportional to 61,615.69 and 68,095.69 is: 75,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,615.69 : 68,095.69 = 68,095.69 : x
  2. Step 2: Convert to fraction form
    61,615.69/68,095.69 = 68,095.69/x
  3. Step 3: Cross multiply
    61,615.69x = 68,095.69 × 68,095.69
  4. Step 4: Simplify right side
    61,615.69x = 4,637,022,656.10
  5. Step 5: Solve for x
    x = 4,637,022,656.10/61,615.69
  6. Step 6: Final answer
    x = 75,257.18

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.