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Finding the Third Proportional to 7,656.75 and 16,817.63

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Solution

The third proportional to 7,656.75 and 16,817.63 is: 36,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.75 : 16,817.63 = 16,817.63 : x
  2. Step 2: Convert to fraction form
    7,656.75/16,817.63 = 16,817.63/x
  3. Step 3: Cross multiply
    7,656.75x = 16,817.63 × 16,817.63
  4. Step 4: Simplify right side
    7,656.75x = 282,832,510.64
  5. Step 5: Solve for x
    x = 282,832,510.64/7,656.75
  6. Step 6: Final answer
    x = 36,938.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.