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Finding the Third Proportional to 6,964 and 15,429

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Solution

The third proportional to 6,964 and 15,429 is: 34,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 15,429 = 15,429 : x
  2. Step 2: Convert to fraction form
    6,964/15,429 = 15,429/x
  3. Step 3: Cross multiply
    6,964x = 15,429 × 15,429
  4. Step 4: Simplify right side
    6,964x = 238,054,041
  5. Step 5: Solve for x
    x = 238,054,041/6,964
  6. Step 6: Final answer
    x = 34,183.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.