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Finding the Third Proportional to 14,602 and 21,416

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Solution

The third proportional to 14,602 and 21,416 is: 31,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602 : 21,416 = 21,416 : x
  2. Step 2: Convert to fraction form
    14,602/21,416 = 21,416/x
  3. Step 3: Cross multiply
    14,602x = 21,416 × 21,416
  4. Step 4: Simplify right side
    14,602x = 458,645,056
  5. Step 5: Solve for x
    x = 458,645,056/14,602
  6. Step 6: Final answer
    x = 31,409.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.