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Finding the Third Proportional to 22,416.75 and 35,675.44

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Solution

The third proportional to 22,416.75 and 35,675.44 is: 56,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.75 : 35,675.44 = 35,675.44 : x
  2. Step 2: Convert to fraction form
    22,416.75/35,675.44 = 35,675.44/x
  3. Step 3: Cross multiply
    22,416.75x = 35,675.44 × 35,675.44
  4. Step 4: Simplify right side
    22,416.75x = 1,272,736,840.82
  5. Step 5: Solve for x
    x = 1,272,736,840.82/22,416.75
  6. Step 6: Final answer
    x = 56,776.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.