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Finding the Third Proportional to 4,970.11 and 11,700.07

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Solution

The third proportional to 4,970.11 and 11,700.07 is: 27,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.11 : 11,700.07 = 11,700.07 : x
  2. Step 2: Convert to fraction form
    4,970.11/11,700.07 = 11,700.07/x
  3. Step 3: Cross multiply
    4,970.11x = 11,700.07 × 11,700.07
  4. Step 4: Simplify right side
    4,970.11x = 136,891,645.32
  5. Step 5: Solve for x
    x = 136,891,645.32/4,970.11
  6. Step 6: Final answer
    x = 27,542.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.