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Finding the Third Proportional to 48,380 and 74,726

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Solution

The third proportional to 48,380 and 74,726 is: 115,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,380 : 74,726 = 74,726 : x
  2. Step 2: Convert to fraction form
    48,380/74,726 = 74,726/x
  3. Step 3: Cross multiply
    48,380x = 74,726 × 74,726
  4. Step 4: Simplify right side
    48,380x = 5,583,975,076
  5. Step 5: Solve for x
    x = 5,583,975,076/48,380
  6. Step 6: Final answer
    x = 115,419.08

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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.