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Finding the Third Proportional to 29,142.91 and 45,002.25

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Solution

The third proportional to 29,142.91 and 45,002.25 is: 69,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.91 : 45,002.25 = 45,002.25 : x
  2. Step 2: Convert to fraction form
    29,142.91/45,002.25 = 45,002.25/x
  3. Step 3: Cross multiply
    29,142.91x = 45,002.25 × 45,002.25
  4. Step 4: Simplify right side
    29,142.91x = 2,025,202,505.06
  5. Step 5: Solve for x
    x = 2,025,202,505.06/29,142.91
  6. Step 6: Final answer
    x = 69,492.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.