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Finding the Third Proportional to 31,275 and 44,779.50

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Solution

The third proportional to 31,275 and 44,779.50 is: 64,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275 : 44,779.50 = 44,779.50 : x
  2. Step 2: Convert to fraction form
    31,275/44,779.50 = 44,779.50/x
  3. Step 3: Cross multiply
    31,275x = 44,779.50 × 44,779.50
  4. Step 4: Simplify right side
    31,275x = 2,005,203,620.25
  5. Step 5: Solve for x
    x = 2,005,203,620.25/31,275
  6. Step 6: Final answer
    x = 64,115.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.