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Finding the Third Proportional to 33,541.59 and 45,391.64

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Solution

The third proportional to 33,541.59 and 45,391.64 is: 61,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541.59 : 45,391.64 = 45,391.64 : x
  2. Step 2: Convert to fraction form
    33,541.59/45,391.64 = 45,391.64/x
  3. Step 3: Cross multiply
    33,541.59x = 45,391.64 × 45,391.64
  4. Step 4: Simplify right side
    33,541.59x = 2,060,401,038.63
  5. Step 5: Solve for x
    x = 2,060,401,038.63/33,541.59
  6. Step 6: Final answer
    x = 61,428.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.