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Finding the Third Proportional to 6,338.95 and 13,526.02

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Solution

The third proportional to 6,338.95 and 13,526.02 is: 28,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.95 : 13,526.02 = 13,526.02 : x
  2. Step 2: Convert to fraction form
    6,338.95/13,526.02 = 13,526.02/x
  3. Step 3: Cross multiply
    6,338.95x = 13,526.02 × 13,526.02
  4. Step 4: Simplify right side
    6,338.95x = 182,953,098.69
  5. Step 5: Solve for x
    x = 182,953,098.69/6,338.95
  6. Step 6: Final answer
    x = 28,861.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.