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Finding the Third Proportional to 34,008.19 and 51,143.06

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Solution

The third proportional to 34,008.19 and 51,143.06 is: 76,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.19 : 51,143.06 = 51,143.06 : x
  2. Step 2: Convert to fraction form
    34,008.19/51,143.06 = 51,143.06/x
  3. Step 3: Cross multiply
    34,008.19x = 51,143.06 × 51,143.06
  4. Step 4: Simplify right side
    34,008.19x = 2,615,612,841.88
  5. Step 5: Solve for x
    x = 2,615,612,841.88/34,008.19
  6. Step 6: Final answer
    x = 76,911.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.