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Finding the Third Proportional to 47,798 and 74,253

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Solution

The third proportional to 47,798 and 74,253 is: 115,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798 : 74,253 = 74,253 : x
  2. Step 2: Convert to fraction form
    47,798/74,253 = 74,253/x
  3. Step 3: Cross multiply
    47,798x = 74,253 × 74,253
  4. Step 4: Simplify right side
    47,798x = 5,513,508,009
  5. Step 5: Solve for x
    x = 5,513,508,009/47,798
  6. Step 6: Final answer
    x = 115,350.18

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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.