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Finding the Third Proportional to 14,706 and 19,095

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Solution

The third proportional to 14,706 and 19,095 is: 24,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 19,095 = 19,095 : x
  2. Step 2: Convert to fraction form
    14,706/19,095 = 19,095/x
  3. Step 3: Cross multiply
    14,706x = 19,095 × 19,095
  4. Step 4: Simplify right side
    14,706x = 364,619,025
  5. Step 5: Solve for x
    x = 364,619,025/14,706
  6. Step 6: Final answer
    x = 24,793.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.