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Finding the Third Proportional to 29,666.25 and 70,029.56

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Solution

The third proportional to 29,666.25 and 70,029.56 is: 165,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.25 : 70,029.56 = 70,029.56 : x
  2. Step 2: Convert to fraction form
    29,666.25/70,029.56 = 70,029.56/x
  3. Step 3: Cross multiply
    29,666.25x = 70,029.56 × 70,029.56
  4. Step 4: Simplify right side
    29,666.25x = 4,904,139,623.94
  5. Step 5: Solve for x
    x = 4,904,139,623.94/29,666.25
  6. Step 6: Final answer
    x = 165,310.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.