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Finding the Third Proportional to 48,726 and 74,735

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Solution

The third proportional to 48,726 and 74,735 is: 114,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 74,735 = 74,735 : x
  2. Step 2: Convert to fraction form
    48,726/74,735 = 74,735/x
  3. Step 3: Cross multiply
    48,726x = 74,735 × 74,735
  4. Step 4: Simplify right side
    48,726x = 5,585,320,225
  5. Step 5: Solve for x
    x = 5,585,320,225/48,726
  6. Step 6: Final answer
    x = 114,627.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.