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Finding the Third Proportional to 6,566.06 and 14,407.03

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Solution

The third proportional to 6,566.06 and 14,407.03 is: 31,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.06 : 14,407.03 = 14,407.03 : x
  2. Step 2: Convert to fraction form
    6,566.06/14,407.03 = 14,407.03/x
  3. Step 3: Cross multiply
    6,566.06x = 14,407.03 × 14,407.03
  4. Step 4: Simplify right side
    6,566.06x = 207,562,549.44
  5. Step 5: Solve for x
    x = 207,562,549.44/6,566.06
  6. Step 6: Final answer
    x = 31,611.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.