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Finding the Third Proportional to 47,165.63 and 71,355.94

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Solution

The third proportional to 47,165.63 and 71,355.94 is: 107,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,165.63 : 71,355.94 = 71,355.94 : x
  2. Step 2: Convert to fraction form
    47,165.63/71,355.94 = 71,355.94/x
  3. Step 3: Cross multiply
    47,165.63x = 71,355.94 × 71,355.94
  4. Step 4: Simplify right side
    47,165.63x = 5,091,669,816.50
  5. Step 5: Solve for x
    x = 5,091,669,816.50/47,165.63
  6. Step 6: Final answer
    x = 107,952.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.