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Finding the Third Proportional to 6,526.41 and 14,092.31

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Solution

The third proportional to 6,526.41 and 14,092.31 is: 30,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.41 : 14,092.31 = 14,092.31 : x
  2. Step 2: Convert to fraction form
    6,526.41/14,092.31 = 14,092.31/x
  3. Step 3: Cross multiply
    6,526.41x = 14,092.31 × 14,092.31
  4. Step 4: Simplify right side
    6,526.41x = 198,593,271.60
  5. Step 5: Solve for x
    x = 198,593,271.60/6,526.41
  6. Step 6: Final answer
    x = 30,429.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.