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Finding the Third Proportional to 6,141.23 and 14,436.14

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Solution

The third proportional to 6,141.23 and 14,436.14 is: 33,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.23 : 14,436.14 = 14,436.14 : x
  2. Step 2: Convert to fraction form
    6,141.23/14,436.14 = 14,436.14/x
  3. Step 3: Cross multiply
    6,141.23x = 14,436.14 × 14,436.14
  4. Step 4: Simplify right side
    6,141.23x = 208,402,156.14
  5. Step 5: Solve for x
    x = 208,402,156.14/6,141.23
  6. Step 6: Final answer
    x = 33,934.90

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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.