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Finding the Third Proportional to 47,764 and 74,208

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Solution

The third proportional to 47,764 and 74,208 is: 115,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 74,208 = 74,208 : x
  2. Step 2: Convert to fraction form
    47,764/74,208 = 74,208/x
  3. Step 3: Cross multiply
    47,764x = 74,208 × 74,208
  4. Step 4: Simplify right side
    47,764x = 5,506,827,264
  5. Step 5: Solve for x
    x = 5,506,827,264/47,764
  6. Step 6: Final answer
    x = 115,292.42

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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.