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Finding the Third Proportional to 32,760 and 49,088.63

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Solution

The third proportional to 32,760 and 49,088.63 is: 73,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,760 : 49,088.63 = 49,088.63 : x
  2. Step 2: Convert to fraction form
    32,760/49,088.63 = 49,088.63/x
  3. Step 3: Cross multiply
    32,760x = 49,088.63 × 49,088.63
  4. Step 4: Simplify right side
    32,760x = 2,409,693,104.39
  5. Step 5: Solve for x
    x = 2,409,693,104.39/32,760
  6. Step 6: Final answer
    x = 73,555.96

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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.