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Finding the Third Proportional to 7,106.63 and 10,659.94

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Solution

The third proportional to 7,106.63 and 10,659.94 is: 15,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.63 : 10,659.94 = 10,659.94 : x
  2. Step 2: Convert to fraction form
    7,106.63/10,659.94 = 10,659.94/x
  3. Step 3: Cross multiply
    7,106.63x = 10,659.94 × 10,659.94
  4. Step 4: Simplify right side
    7,106.63x = 113,634,267.50
  5. Step 5: Solve for x
    x = 113,634,267.50/7,106.63
  6. Step 6: Final answer
    x = 15,989.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.