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Finding the Third Proportional to 3,070.13 and 6,710.63

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Solution

The third proportional to 3,070.13 and 6,710.63 is: 14,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.13 : 6,710.63 = 6,710.63 : x
  2. Step 2: Convert to fraction form
    3,070.13/6,710.63 = 6,710.63/x
  3. Step 3: Cross multiply
    3,070.13x = 6,710.63 × 6,710.63
  4. Step 4: Simplify right side
    3,070.13x = 45,032,487.89
  5. Step 5: Solve for x
    x = 45,032,487.89/3,070.13
  6. Step 6: Final answer
    x = 14,667.97

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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.