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Finding the Third Proportional to 31,335.19 and 47,010.38

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Solution

The third proportional to 31,335.19 and 47,010.38 is: 70,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.19 : 47,010.38 = 47,010.38 : x
  2. Step 2: Convert to fraction form
    31,335.19/47,010.38 = 47,010.38/x
  3. Step 3: Cross multiply
    31,335.19x = 47,010.38 × 47,010.38
  4. Step 4: Simplify right side
    31,335.19x = 2,209,975,357.64
  5. Step 5: Solve for x
    x = 2,209,975,357.64/31,335.19
  6. Step 6: Final answer
    x = 70,526.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.