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Finding the Third Proportional to 56,497.50 and 75,006

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Solution

The third proportional to 56,497.50 and 75,006 is: 99,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.50 : 75,006 = 75,006 : x
  2. Step 2: Convert to fraction form
    56,497.50/75,006 = 75,006/x
  3. Step 3: Cross multiply
    56,497.50x = 75,006 × 75,006
  4. Step 4: Simplify right side
    56,497.50x = 5,625,900,036
  5. Step 5: Solve for x
    x = 5,625,900,036/56,497.50
  6. Step 6: Final answer
    x = 99,577.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.