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Finding the Third Proportional to 16,534.50 and 35,985

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Solution

The third proportional to 16,534.50 and 35,985 is: 78,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.50 : 35,985 = 35,985 : x
  2. Step 2: Convert to fraction form
    16,534.50/35,985 = 35,985/x
  3. Step 3: Cross multiply
    16,534.50x = 35,985 × 35,985
  4. Step 4: Simplify right side
    16,534.50x = 1,294,920,225
  5. Step 5: Solve for x
    x = 1,294,920,225/16,534.50
  6. Step 6: Final answer
    x = 78,316.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.