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Finding the Third Proportional to 14,296.50 and 29,322

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Solution

The third proportional to 14,296.50 and 29,322 is: 60,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.50 : 29,322 = 29,322 : x
  2. Step 2: Convert to fraction form
    14,296.50/29,322 = 29,322/x
  3. Step 3: Cross multiply
    14,296.50x = 29,322 × 29,322
  4. Step 4: Simplify right side
    14,296.50x = 859,779,684
  5. Step 5: Solve for x
    x = 859,779,684/14,296.50
  6. Step 6: Final answer
    x = 60,139.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.