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Finding the Third Proportional to 6,712.88 and 10,070.58

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Solution

The third proportional to 6,712.88 and 10,070.58 is: 15,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.88 : 10,070.58 = 10,070.58 : x
  2. Step 2: Convert to fraction form
    6,712.88/10,070.58 = 10,070.58/x
  3. Step 3: Cross multiply
    6,712.88x = 10,070.58 × 10,070.58
  4. Step 4: Simplify right side
    6,712.88x = 101,416,543.77
  5. Step 5: Solve for x
    x = 101,416,543.77/6,712.88
  6. Step 6: Final answer
    x = 15,107.77

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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.