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Finding the Third Proportional to 8,428 and 14,046

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Solution

The third proportional to 8,428 and 14,046 is: 23,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 14,046 = 14,046 : x
  2. Step 2: Convert to fraction form
    8,428/14,046 = 14,046/x
  3. Step 3: Cross multiply
    8,428x = 14,046 × 14,046
  4. Step 4: Simplify right side
    8,428x = 197,290,116
  5. Step 5: Solve for x
    x = 197,290,116/8,428
  6. Step 6: Final answer
    x = 23,408.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.