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Finding the Third Proportional to 11,038.78 and 14,690.11

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Solution

The third proportional to 11,038.78 and 14,690.11 is: 19,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.78 : 14,690.11 = 14,690.11 : x
  2. Step 2: Convert to fraction form
    11,038.78/14,690.11 = 14,690.11/x
  3. Step 3: Cross multiply
    11,038.78x = 14,690.11 × 14,690.11
  4. Step 4: Simplify right side
    11,038.78x = 215,799,313.45
  5. Step 5: Solve for x
    x = 215,799,313.45/11,038.78
  6. Step 6: Final answer
    x = 19,549.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.