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Finding the Third Proportional to 40,652.50 and 63,856

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Solution

The third proportional to 40,652.50 and 63,856 is: 100,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,652.50 : 63,856 = 63,856 : x
  2. Step 2: Convert to fraction form
    40,652.50/63,856 = 63,856/x
  3. Step 3: Cross multiply
    40,652.50x = 63,856 × 63,856
  4. Step 4: Simplify right side
    40,652.50x = 4,077,588,736
  5. Step 5: Solve for x
    x = 4,077,588,736/40,652.50
  6. Step 6: Final answer
    x = 100,303.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.