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Finding the Third Proportional to 31,335 and 47,995.50

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Solution

The third proportional to 31,335 and 47,995.50 is: 73,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335 : 47,995.50 = 47,995.50 : x
  2. Step 2: Convert to fraction form
    31,335/47,995.50 = 47,995.50/x
  3. Step 3: Cross multiply
    31,335x = 47,995.50 × 47,995.50
  4. Step 4: Simplify right side
    31,335x = 2,303,568,020.25
  5. Step 5: Solve for x
    x = 2,303,568,020.25/31,335
  6. Step 6: Final answer
    x = 73,514.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.