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Finding the Third Proportional to 6,606.95 and 13,862.64

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Solution

The third proportional to 6,606.95 and 13,862.64 is: 29,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.95 : 13,862.64 = 13,862.64 : x
  2. Step 2: Convert to fraction form
    6,606.95/13,862.64 = 13,862.64/x
  3. Step 3: Cross multiply
    6,606.95x = 13,862.64 × 13,862.64
  4. Step 4: Simplify right side
    6,606.95x = 192,172,805.10
  5. Step 5: Solve for x
    x = 192,172,805.10/6,606.95
  6. Step 6: Final answer
    x = 29,086.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.