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Finding the Third Proportional to 14,051.25 and 29,965.50

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Solution

The third proportional to 14,051.25 and 29,965.50 is: 63,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.25 : 29,965.50 = 29,965.50 : x
  2. Step 2: Convert to fraction form
    14,051.25/29,965.50 = 29,965.50/x
  3. Step 3: Cross multiply
    14,051.25x = 29,965.50 × 29,965.50
  4. Step 4: Simplify right side
    14,051.25x = 897,931,190.25
  5. Step 5: Solve for x
    x = 897,931,190.25/14,051.25
  6. Step 6: Final answer
    x = 63,904.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.