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Finding the Third Proportional to 34,743.94 and 75,840.47

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Solution

The third proportional to 34,743.94 and 75,840.47 is: 165,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743.94 : 75,840.47 = 75,840.47 : x
  2. Step 2: Convert to fraction form
    34,743.94/75,840.47 = 75,840.47/x
  3. Step 3: Cross multiply
    34,743.94x = 75,840.47 × 75,840.47
  4. Step 4: Simplify right side
    34,743.94x = 5,751,776,700.22
  5. Step 5: Solve for x
    x = 5,751,776,700.22/34,743.94
  6. Step 6: Final answer
    x = 165,547.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.