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Finding the Third Proportional to 38,287.69 and 56,095.03

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Solution

The third proportional to 38,287.69 and 56,095.03 is: 82,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.69 : 56,095.03 = 56,095.03 : x
  2. Step 2: Convert to fraction form
    38,287.69/56,095.03 = 56,095.03/x
  3. Step 3: Cross multiply
    38,287.69x = 56,095.03 × 56,095.03
  4. Step 4: Simplify right side
    38,287.69x = 3,146,652,530.94
  5. Step 5: Solve for x
    x = 3,146,652,530.94/38,287.69
  6. Step 6: Final answer
    x = 82,184.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.