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Finding the Third Proportional to 14,718.38 and 19,586.81

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Solution

The third proportional to 14,718.38 and 19,586.81 is: 26,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.38 : 19,586.81 = 19,586.81 : x
  2. Step 2: Convert to fraction form
    14,718.38/19,586.81 = 19,586.81/x
  3. Step 3: Cross multiply
    14,718.38x = 19,586.81 × 19,586.81
  4. Step 4: Simplify right side
    14,718.38x = 383,643,223.91
  5. Step 5: Solve for x
    x = 383,643,223.91/14,718.38
  6. Step 6: Final answer
    x = 26,065.60

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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.