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Finding the Third Proportional to 7,386 and 14,406

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Solution

The third proportional to 7,386 and 14,406 is: 28,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386 : 14,406 = 14,406 : x
  2. Step 2: Convert to fraction form
    7,386/14,406 = 14,406/x
  3. Step 3: Cross multiply
    7,386x = 14,406 × 14,406
  4. Step 4: Simplify right side
    7,386x = 207,532,836
  5. Step 5: Solve for x
    x = 207,532,836/7,386
  6. Step 6: Final answer
    x = 28,098.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.