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Finding the Third Proportional to 6,522 and 15,385.50

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Solution

The third proportional to 6,522 and 15,385.50 is: 36,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522 : 15,385.50 = 15,385.50 : x
  2. Step 2: Convert to fraction form
    6,522/15,385.50 = 15,385.50/x
  3. Step 3: Cross multiply
    6,522x = 15,385.50 × 15,385.50
  4. Step 4: Simplify right side
    6,522x = 236,713,610.25
  5. Step 5: Solve for x
    x = 236,713,610.25/6,522
  6. Step 6: Final answer
    x = 36,294.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.