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Finding the Third Proportional to 8,762.63 and 11,807.44

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Solution

The third proportional to 8,762.63 and 11,807.44 is: 15,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.63 : 11,807.44 = 11,807.44 : x
  2. Step 2: Convert to fraction form
    8,762.63/11,807.44 = 11,807.44/x
  3. Step 3: Cross multiply
    8,762.63x = 11,807.44 × 11,807.44
  4. Step 4: Simplify right side
    8,762.63x = 139,415,580.32
  5. Step 5: Solve for x
    x = 139,415,580.32/8,762.63
  6. Step 6: Final answer
    x = 15,910.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.