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Finding the Third Proportional to 35,006.63 and 76,817.25

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Solution

The third proportional to 35,006.63 and 76,817.25 is: 168,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006.63 : 76,817.25 = 76,817.25 : x
  2. Step 2: Convert to fraction form
    35,006.63/76,817.25 = 76,817.25/x
  3. Step 3: Cross multiply
    35,006.63x = 76,817.25 × 76,817.25
  4. Step 4: Simplify right side
    35,006.63x = 5,900,889,897.56
  5. Step 5: Solve for x
    x = 5,900,889,897.56/35,006.63
  6. Step 6: Final answer
    x = 168,564.95

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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.