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Finding the Third Proportional to 29,418.19 and 32,000.06

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Solution

The third proportional to 29,418.19 and 32,000.06 is: 34,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,418.19 : 32,000.06 = 32,000.06 : x
  2. Step 2: Convert to fraction form
    29,418.19/32,000.06 = 32,000.06/x
  3. Step 3: Cross multiply
    29,418.19x = 32,000.06 × 32,000.06
  4. Step 4: Simplify right side
    29,418.19x = 1,024,004,000.00
  5. Step 5: Solve for x
    x = 1,024,004,000.00/29,418.19
  6. Step 6: Final answer
    x = 34,808.53

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.