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Finding the Third Proportional to 31,010.34 and 47,929.22

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Solution

The third proportional to 31,010.34 and 47,929.22 is: 74,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.34 : 47,929.22 = 47,929.22 : x
  2. Step 2: Convert to fraction form
    31,010.34/47,929.22 = 47,929.22/x
  3. Step 3: Cross multiply
    31,010.34x = 47,929.22 × 47,929.22
  4. Step 4: Simplify right side
    31,010.34x = 2,297,210,009.99
  5. Step 5: Solve for x
    x = 2,297,210,009.99/31,010.34
  6. Step 6: Final answer
    x = 74,078.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.