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Finding the Third Proportional to 49,490 and 74,657

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Solution

The third proportional to 49,490 and 74,657 is: 112,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490 : 74,657 = 74,657 : x
  2. Step 2: Convert to fraction form
    49,490/74,657 = 74,657/x
  3. Step 3: Cross multiply
    49,490x = 74,657 × 74,657
  4. Step 4: Simplify right side
    49,490x = 5,573,667,649
  5. Step 5: Solve for x
    x = 5,573,667,649/49,490
  6. Step 6: Final answer
    x = 112,622.10

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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.