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Finding the Third Proportional to 53,947.69 and 73,036.69

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Solution

The third proportional to 53,947.69 and 73,036.69 is: 98,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947.69 : 73,036.69 = 73,036.69 : x
  2. Step 2: Convert to fraction form
    53,947.69/73,036.69 = 73,036.69/x
  3. Step 3: Cross multiply
    53,947.69x = 73,036.69 × 73,036.69
  4. Step 4: Simplify right side
    53,947.69x = 5,334,357,720.97
  5. Step 5: Solve for x
    x = 5,334,357,720.97/53,947.69
  6. Step 6: Final answer
    x = 98,880.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.