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Finding the Third Proportional to 19,652.63 and 29,478.94

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Solution

The third proportional to 19,652.63 and 29,478.94 is: 44,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.63 : 29,478.94 = 29,478.94 : x
  2. Step 2: Convert to fraction form
    19,652.63/29,478.94 = 29,478.94/x
  3. Step 3: Cross multiply
    19,652.63x = 29,478.94 × 29,478.94
  4. Step 4: Simplify right side
    19,652.63x = 869,007,756.13
  5. Step 5: Solve for x
    x = 869,007,756.13/19,652.63
  6. Step 6: Final answer
    x = 44,218.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.