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Finding the Third Proportional to 52,997.63 and 74,275.31

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Solution

The third proportional to 52,997.63 and 74,275.31 is: 104,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,997.63 : 74,275.31 = 74,275.31 : x
  2. Step 2: Convert to fraction form
    52,997.63/74,275.31 = 74,275.31/x
  3. Step 3: Cross multiply
    52,997.63x = 74,275.31 × 74,275.31
  4. Step 4: Simplify right side
    52,997.63x = 5,516,822,046.97
  5. Step 5: Solve for x
    x = 5,516,822,046.97/52,997.63
  6. Step 6: Final answer
    x = 104,095.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.