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Finding the Third Proportional to 9,959.84 and 13,931.37

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Solution

The third proportional to 9,959.84 and 13,931.37 is: 19,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.84 : 13,931.37 = 13,931.37 : x
  2. Step 2: Convert to fraction form
    9,959.84/13,931.37 = 13,931.37/x
  3. Step 3: Cross multiply
    9,959.84x = 13,931.37 × 13,931.37
  4. Step 4: Simplify right side
    9,959.84x = 194,082,991.71
  5. Step 5: Solve for x
    x = 194,082,991.71/9,959.84
  6. Step 6: Final answer
    x = 19,486.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.