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Finding the Third Proportional to 38,646 and 58,506.75

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Solution

The third proportional to 38,646 and 58,506.75 is: 88,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646 : 58,506.75 = 58,506.75 : x
  2. Step 2: Convert to fraction form
    38,646/58,506.75 = 58,506.75/x
  3. Step 3: Cross multiply
    38,646x = 58,506.75 × 58,506.75
  4. Step 4: Simplify right side
    38,646x = 3,423,039,795.56
  5. Step 5: Solve for x
    x = 3,423,039,795.56/38,646
  6. Step 6: Final answer
    x = 88,574.23

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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.