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Finding the Third Proportional to 7,666.84 and 15,615.60

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Solution

The third proportional to 7,666.84 and 15,615.60 is: 31,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.84 : 15,615.60 = 15,615.60 : x
  2. Step 2: Convert to fraction form
    7,666.84/15,615.60 = 15,615.60/x
  3. Step 3: Cross multiply
    7,666.84x = 15,615.60 × 15,615.60
  4. Step 4: Simplify right side
    7,666.84x = 243,846,890.16
  5. Step 5: Solve for x
    x = 243,846,890.16/7,666.84
  6. Step 6: Final answer
    x = 31,805.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.