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Finding the Third Proportional to 7,503 and 16,355.63

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Solution

The third proportional to 7,503 and 16,355.63 is: 35,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503 : 16,355.63 = 16,355.63 : x
  2. Step 2: Convert to fraction form
    7,503/16,355.63 = 16,355.63/x
  3. Step 3: Cross multiply
    7,503x = 16,355.63 × 16,355.63
  4. Step 4: Simplify right side
    7,503x = 267,506,469.14
  5. Step 5: Solve for x
    x = 267,506,469.14/7,503
  6. Step 6: Final answer
    x = 35,653.27

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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.