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Finding the Third Proportional to 5,954.63 and 11,368.13

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Solution

The third proportional to 5,954.63 and 11,368.13 is: 21,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.63 : 11,368.13 = 11,368.13 : x
  2. Step 2: Convert to fraction form
    5,954.63/11,368.13 = 11,368.13/x
  3. Step 3: Cross multiply
    5,954.63x = 11,368.13 × 11,368.13
  4. Step 4: Simplify right side
    5,954.63x = 129,234,266.02
  5. Step 5: Solve for x
    x = 129,234,266.02/5,954.63
  6. Step 6: Final answer
    x = 21,703.17

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.