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Finding the Third Proportional to 14,324 and 29,630

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Solution

The third proportional to 14,324 and 29,630 is: 61,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324 : 29,630 = 29,630 : x
  2. Step 2: Convert to fraction form
    14,324/29,630 = 29,630/x
  3. Step 3: Cross multiply
    14,324x = 29,630 × 29,630
  4. Step 4: Simplify right side
    14,324x = 877,936,900
  5. Step 5: Solve for x
    x = 877,936,900/14,324
  6. Step 6: Final answer
    x = 61,291.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.