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Finding the Third Proportional to 34,293.38 and 53,444.81

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Solution

The third proportional to 34,293.38 and 53,444.81 is: 83,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,293.38 : 53,444.81 = 53,444.81 : x
  2. Step 2: Convert to fraction form
    34,293.38/53,444.81 = 53,444.81/x
  3. Step 3: Cross multiply
    34,293.38x = 53,444.81 × 53,444.81
  4. Step 4: Simplify right side
    34,293.38x = 2,856,347,983.16
  5. Step 5: Solve for x
    x = 2,856,347,983.16/34,293.38
  6. Step 6: Final answer
    x = 83,291.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.