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Finding the Third Proportional to 6,117.75 and 13,602.94

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Solution

The third proportional to 6,117.75 and 13,602.94 is: 30,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.75 : 13,602.94 = 13,602.94 : x
  2. Step 2: Convert to fraction form
    6,117.75/13,602.94 = 13,602.94/x
  3. Step 3: Cross multiply
    6,117.75x = 13,602.94 × 13,602.94
  4. Step 4: Simplify right side
    6,117.75x = 185,039,908.63
  5. Step 5: Solve for x
    x = 185,039,908.63/6,117.75
  6. Step 6: Final answer
    x = 30,246.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.