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Finding the Third Proportional to 16,485.75 and 37,569.38

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Solution

The third proportional to 16,485.75 and 37,569.38 is: 85,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.75 : 37,569.38 = 37,569.38 : x
  2. Step 2: Convert to fraction form
    16,485.75/37,569.38 = 37,569.38/x
  3. Step 3: Cross multiply
    16,485.75x = 37,569.38 × 37,569.38
  4. Step 4: Simplify right side
    16,485.75x = 1,411,457,937.89
  5. Step 5: Solve for x
    x = 1,411,457,937.89/16,485.75
  6. Step 6: Final answer
    x = 85,616.85

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.