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Finding the Third Proportional to 31,020 and 47,944

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Solution

The third proportional to 31,020 and 47,944 is: 74,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020 : 47,944 = 47,944 : x
  2. Step 2: Convert to fraction form
    31,020/47,944 = 47,944/x
  3. Step 3: Cross multiply
    31,020x = 47,944 × 47,944
  4. Step 4: Simplify right side
    31,020x = 2,298,627,136
  5. Step 5: Solve for x
    x = 2,298,627,136/31,020
  6. Step 6: Final answer
    x = 74,101.46

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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.