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Finding the Third Proportional to 58,308.75 and 82,575.84

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Solution

The third proportional to 58,308.75 and 82,575.84 is: 116,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,308.75 : 82,575.84 = 82,575.84 : x
  2. Step 2: Convert to fraction form
    58,308.75/82,575.84 = 82,575.84/x
  3. Step 3: Cross multiply
    58,308.75x = 82,575.84 × 82,575.84
  4. Step 4: Simplify right side
    58,308.75x = 6,818,769,971.02
  5. Step 5: Solve for x
    x = 6,818,769,971.02/58,308.75
  6. Step 6: Final answer
    x = 116,942.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.