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Finding the Third Proportional to 9,726 and 14,574

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Solution

The third proportional to 9,726 and 14,574 is: 21,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 14,574 = 14,574 : x
  2. Step 2: Convert to fraction form
    9,726/14,574 = 14,574/x
  3. Step 3: Cross multiply
    9,726x = 14,574 × 14,574
  4. Step 4: Simplify right side
    9,726x = 212,401,476
  5. Step 5: Solve for x
    x = 212,401,476/9,726
  6. Step 6: Final answer
    x = 21,838.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.