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Finding the Third Proportional to 34,998 and 76,800.50

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Solution

The third proportional to 34,998 and 76,800.50 is: 168,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 76,800.50 = 76,800.50 : x
  2. Step 2: Convert to fraction form
    34,998/76,800.50 = 76,800.50/x
  3. Step 3: Cross multiply
    34,998x = 76,800.50 × 76,800.50
  4. Step 4: Simplify right side
    34,998x = 5,898,316,800.25
  5. Step 5: Solve for x
    x = 5,898,316,800.25/34,998
  6. Step 6: Final answer
    x = 168,532.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.