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Finding the Third Proportional to 12,146.63 and 29,235.94

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Solution

The third proportional to 12,146.63 and 29,235.94 is: 70,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.63 : 29,235.94 = 29,235.94 : x
  2. Step 2: Convert to fraction form
    12,146.63/29,235.94 = 29,235.94/x
  3. Step 3: Cross multiply
    12,146.63x = 29,235.94 × 29,235.94
  4. Step 4: Simplify right side
    12,146.63x = 854,740,041.50
  5. Step 5: Solve for x
    x = 854,740,041.50/12,146.63
  6. Step 6: Final answer
    x = 70,368.52

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.