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Finding the Third Proportional to 28,547.44 and 41,120.16

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Solution

The third proportional to 28,547.44 and 41,120.16 is: 59,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.44 : 41,120.16 = 41,120.16 : x
  2. Step 2: Convert to fraction form
    28,547.44/41,120.16 = 41,120.16/x
  3. Step 3: Cross multiply
    28,547.44x = 41,120.16 × 41,120.16
  4. Step 4: Simplify right side
    28,547.44x = 1,690,867,250.02
  5. Step 5: Solve for x
    x = 1,690,867,250.02/28,547.44
  6. Step 6: Final answer
    x = 59,230.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.