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Finding the Third Proportional to 34,035.19 and 70,498.69

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Solution

The third proportional to 34,035.19 and 70,498.69 is: 146,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.19 : 70,498.69 = 70,498.69 : x
  2. Step 2: Convert to fraction form
    34,035.19/70,498.69 = 70,498.69/x
  3. Step 3: Cross multiply
    34,035.19x = 70,498.69 × 70,498.69
  4. Step 4: Simplify right side
    34,035.19x = 4,970,064,939.22
  5. Step 5: Solve for x
    x = 4,970,064,939.22/34,035.19
  6. Step 6: Final answer
    x = 146,027.25

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.