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Finding the Third Proportional to 31,040 and 47,768

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Solution

The third proportional to 31,040 and 47,768 is: 73,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040 : 47,768 = 47,768 : x
  2. Step 2: Convert to fraction form
    31,040/47,768 = 47,768/x
  3. Step 3: Cross multiply
    31,040x = 47,768 × 47,768
  4. Step 4: Simplify right side
    31,040x = 2,281,781,824
  5. Step 5: Solve for x
    x = 2,281,781,824/31,040
  6. Step 6: Final answer
    x = 73,511.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.