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Finding the Third Proportional to 16,461.75 and 35,583

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Solution

The third proportional to 16,461.75 and 35,583 is: 76,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.75 : 35,583 = 35,583 : x
  2. Step 2: Convert to fraction form
    16,461.75/35,583 = 35,583/x
  3. Step 3: Cross multiply
    16,461.75x = 35,583 × 35,583
  4. Step 4: Simplify right side
    16,461.75x = 1,266,149,889
  5. Step 5: Solve for x
    x = 1,266,149,889/16,461.75
  6. Step 6: Final answer
    x = 76,914.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.