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Finding the Third Proportional to 6,302.81 and 13,710.94

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Solution

The third proportional to 6,302.81 and 13,710.94 is: 29,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.81 : 13,710.94 = 13,710.94 : x
  2. Step 2: Convert to fraction form
    6,302.81/13,710.94 = 13,710.94/x
  3. Step 3: Cross multiply
    6,302.81x = 13,710.94 × 13,710.94
  4. Step 4: Simplify right side
    6,302.81x = 187,989,807.13
  5. Step 5: Solve for x
    x = 187,989,807.13/6,302.81
  6. Step 6: Final answer
    x = 29,826.34

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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.