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Finding the Third Proportional to 48,342 and 74,700

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Solution

The third proportional to 48,342 and 74,700 is: 115,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,342 : 74,700 = 74,700 : x
  2. Step 2: Convert to fraction form
    48,342/74,700 = 74,700/x
  3. Step 3: Cross multiply
    48,342x = 74,700 × 74,700
  4. Step 4: Simplify right side
    48,342x = 5,580,090,000
  5. Step 5: Solve for x
    x = 5,580,090,000/48,342
  6. Step 6: Final answer
    x = 115,429.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.