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Finding the Third Proportional to 20,130.75 and 43,730.16

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Solution

The third proportional to 20,130.75 and 43,730.16 is: 94,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.75 : 43,730.16 = 43,730.16 : x
  2. Step 2: Convert to fraction form
    20,130.75/43,730.16 = 43,730.16/x
  3. Step 3: Cross multiply
    20,130.75x = 43,730.16 × 43,730.16
  4. Step 4: Simplify right side
    20,130.75x = 1,912,326,565.65
  5. Step 5: Solve for x
    x = 1,912,326,565.65/20,130.75
  6. Step 6: Final answer
    x = 94,995.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.