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Finding the Third Proportional to 23,851.13 and 37,761.19

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Solution

The third proportional to 23,851.13 and 37,761.19 is: 59,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.13 : 37,761.19 = 37,761.19 : x
  2. Step 2: Convert to fraction form
    23,851.13/37,761.19 = 37,761.19/x
  3. Step 3: Cross multiply
    23,851.13x = 37,761.19 × 37,761.19
  4. Step 4: Simplify right side
    23,851.13x = 1,425,907,281.41
  5. Step 5: Solve for x
    x = 1,425,907,281.41/23,851.13
  6. Step 6: Final answer
    x = 59,783.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.