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Finding the Third Proportional to 6,901.13 and 14,895.56

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Solution

The third proportional to 6,901.13 and 14,895.56 is: 32,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.13 : 14,895.56 = 14,895.56 : x
  2. Step 2: Convert to fraction form
    6,901.13/14,895.56 = 14,895.56/x
  3. Step 3: Cross multiply
    6,901.13x = 14,895.56 × 14,895.56
  4. Step 4: Simplify right side
    6,901.13x = 221,877,782.19
  5. Step 5: Solve for x
    x = 221,877,782.19/6,901.13
  6. Step 6: Final answer
    x = 32,150.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.