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Finding the Third Proportional to 29,848.50 and 44,089.31

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Solution

The third proportional to 29,848.50 and 44,089.31 is: 65,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.50 : 44,089.31 = 44,089.31 : x
  2. Step 2: Convert to fraction form
    29,848.50/44,089.31 = 44,089.31/x
  3. Step 3: Cross multiply
    29,848.50x = 44,089.31 × 44,089.31
  4. Step 4: Simplify right side
    29,848.50x = 1,943,867,476.72
  5. Step 5: Solve for x
    x = 1,943,867,476.72/29,848.50
  6. Step 6: Final answer
    x = 65,124.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.