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Finding the Third Proportional to 31,052 and 47,787

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Solution

The third proportional to 31,052 and 47,787 is: 73,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052 : 47,787 = 47,787 : x
  2. Step 2: Convert to fraction form
    31,052/47,787 = 47,787/x
  3. Step 3: Cross multiply
    31,052x = 47,787 × 47,787
  4. Step 4: Simplify right side
    31,052x = 2,283,597,369
  5. Step 5: Solve for x
    x = 2,283,597,369/31,052
  6. Step 6: Final answer
    x = 73,541.07

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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.