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Finding the Third Proportional to 45,795.38 and 72,849.38

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Solution

The third proportional to 45,795.38 and 72,849.38 is: 115,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,795.38 : 72,849.38 = 72,849.38 : x
  2. Step 2: Convert to fraction form
    45,795.38/72,849.38 = 72,849.38/x
  3. Step 3: Cross multiply
    45,795.38x = 72,849.38 × 72,849.38
  4. Step 4: Simplify right side
    45,795.38x = 5,307,031,437.89
  5. Step 5: Solve for x
    x = 5,307,031,437.89/45,795.38
  6. Step 6: Final answer
    x = 115,885.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.