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Finding the Third Proportional to 15,804.50 and 34,791

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Solution

The third proportional to 15,804.50 and 34,791 is: 76,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.50 : 34,791 = 34,791 : x
  2. Step 2: Convert to fraction form
    15,804.50/34,791 = 34,791/x
  3. Step 3: Cross multiply
    15,804.50x = 34,791 × 34,791
  4. Step 4: Simplify right side
    15,804.50x = 1,210,413,681
  5. Step 5: Solve for x
    x = 1,210,413,681/15,804.50
  6. Step 6: Final answer
    x = 76,586.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.