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Finding the Third Proportional to 14,675.87 and 22,293.98

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Solution

The third proportional to 14,675.87 and 22,293.98 is: 33,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.87 : 22,293.98 = 22,293.98 : x
  2. Step 2: Convert to fraction form
    14,675.87/22,293.98 = 22,293.98/x
  3. Step 3: Cross multiply
    14,675.87x = 22,293.98 × 22,293.98
  4. Step 4: Simplify right side
    14,675.87x = 497,021,739.31
  5. Step 5: Solve for x
    x = 497,021,739.31/14,675.87
  6. Step 6: Final answer
    x = 33,866.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.