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Finding the Third Proportional to 14,691 and 21,421.13

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Solution

The third proportional to 14,691 and 21,421.13 is: 31,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 21,421.13 = 21,421.13 : x
  2. Step 2: Convert to fraction form
    14,691/21,421.13 = 21,421.13/x
  3. Step 3: Cross multiply
    14,691x = 21,421.13 × 21,421.13
  4. Step 4: Simplify right side
    14,691x = 458,864,596.27
  5. Step 5: Solve for x
    x = 458,864,596.27/14,691
  6. Step 6: Final answer
    x = 31,234.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.