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Finding the Third Proportional to 31,030.50 and 47,950.13

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Solution

The third proportional to 31,030.50 and 47,950.13 is: 74,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.50 : 47,950.13 = 47,950.13 : x
  2. Step 2: Convert to fraction form
    31,030.50/47,950.13 = 47,950.13/x
  3. Step 3: Cross multiply
    31,030.50x = 47,950.13 × 47,950.13
  4. Step 4: Simplify right side
    31,030.50x = 2,299,214,487.52
  5. Step 5: Solve for x
    x = 2,299,214,487.52/31,030.50
  6. Step 6: Final answer
    x = 74,095.31

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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.