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Finding the Third Proportional to 14,501 and 30,779

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Solution

The third proportional to 14,501 and 30,779 is: 65,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501 : 30,779 = 30,779 : x
  2. Step 2: Convert to fraction form
    14,501/30,779 = 30,779/x
  3. Step 3: Cross multiply
    14,501x = 30,779 × 30,779
  4. Step 4: Simplify right side
    14,501x = 947,346,841
  5. Step 5: Solve for x
    x = 947,346,841/14,501
  6. Step 6: Final answer
    x = 65,329.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.