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Finding the Third Proportional to 6,688.88 and 14,654.63

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Solution

The third proportional to 6,688.88 and 14,654.63 is: 32,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.88 : 14,654.63 = 14,654.63 : x
  2. Step 2: Convert to fraction form
    6,688.88/14,654.63 = 14,654.63/x
  3. Step 3: Cross multiply
    6,688.88x = 14,654.63 × 14,654.63
  4. Step 4: Simplify right side
    6,688.88x = 214,758,033.89
  5. Step 5: Solve for x
    x = 214,758,033.89/6,688.88
  6. Step 6: Final answer
    x = 32,106.75

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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.