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Finding the Third Proportional to 46,135.50 and 63,564

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Solution

The third proportional to 46,135.50 and 63,564 is: 87,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135.50 : 63,564 = 63,564 : x
  2. Step 2: Convert to fraction form
    46,135.50/63,564 = 63,564/x
  3. Step 3: Cross multiply
    46,135.50x = 63,564 × 63,564
  4. Step 4: Simplify right side
    46,135.50x = 4,040,382,096
  5. Step 5: Solve for x
    x = 4,040,382,096/46,135.50
  6. Step 6: Final answer
    x = 87,576.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.