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Finding the Third Proportional to 49,599 and 76,587.75

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Solution

The third proportional to 49,599 and 76,587.75 is: 118,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,599 : 76,587.75 = 76,587.75 : x
  2. Step 2: Convert to fraction form
    49,599/76,587.75 = 76,587.75/x
  3. Step 3: Cross multiply
    49,599x = 76,587.75 × 76,587.75
  4. Step 4: Simplify right side
    49,599x = 5,865,683,450.06
  5. Step 5: Solve for x
    x = 5,865,683,450.06/49,599
  6. Step 6: Final answer
    x = 118,262.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.