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Finding the Third Proportional to 29,802.94 and 43,097.06

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Solution

The third proportional to 29,802.94 and 43,097.06 is: 62,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.94 : 43,097.06 = 43,097.06 : x
  2. Step 2: Convert to fraction form
    29,802.94/43,097.06 = 43,097.06/x
  3. Step 3: Cross multiply
    29,802.94x = 43,097.06 × 43,097.06
  4. Step 4: Simplify right side
    29,802.94x = 1,857,356,796.13
  5. Step 5: Solve for x
    x = 1,857,356,796.13/29,802.94
  6. Step 6: Final answer
    x = 62,321.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.