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Finding the Third Proportional to 20,095.59 and 29,562.47

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Solution

The third proportional to 20,095.59 and 29,562.47 is: 43,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.59 : 29,562.47 = 29,562.47 : x
  2. Step 2: Convert to fraction form
    20,095.59/29,562.47 = 29,562.47/x
  3. Step 3: Cross multiply
    20,095.59x = 29,562.47 × 29,562.47
  4. Step 4: Simplify right side
    20,095.59x = 873,939,558.59
  5. Step 5: Solve for x
    x = 873,939,558.59/20,095.59
  6. Step 6: Final answer
    x = 43,489.11

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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.