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Finding the Third Proportional to 47,157 and 62,955

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Solution

The third proportional to 47,157 and 62,955 is: 84,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,157 : 62,955 = 62,955 : x
  2. Step 2: Convert to fraction form
    47,157/62,955 = 62,955/x
  3. Step 3: Cross multiply
    47,157x = 62,955 × 62,955
  4. Step 4: Simplify right side
    47,157x = 3,963,332,025
  5. Step 5: Solve for x
    x = 3,963,332,025/47,157
  6. Step 6: Final answer
    x = 84,045.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.