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Finding the Third Proportional to 49,392 and 74,513.25

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Solution

The third proportional to 49,392 and 74,513.25 is: 112,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,392 : 74,513.25 = 74,513.25 : x
  2. Step 2: Convert to fraction form
    49,392/74,513.25 = 74,513.25/x
  3. Step 3: Cross multiply
    49,392x = 74,513.25 × 74,513.25
  4. Step 4: Simplify right side
    49,392x = 5,552,224,425.56
  5. Step 5: Solve for x
    x = 5,552,224,425.56/49,392
  6. Step 6: Final answer
    x = 112,411.41

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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.