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Finding the Third Proportional to 11,368.69 and 13,008.94

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Solution

The third proportional to 11,368.69 and 13,008.94 is: 14,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.69 : 13,008.94 = 13,008.94 : x
  2. Step 2: Convert to fraction form
    11,368.69/13,008.94 = 13,008.94/x
  3. Step 3: Cross multiply
    11,368.69x = 13,008.94 × 13,008.94
  4. Step 4: Simplify right side
    11,368.69x = 169,232,454.88
  5. Step 5: Solve for x
    x = 169,232,454.88/11,368.69
  6. Step 6: Final answer
    x = 14,885.84

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.