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Finding the Third Proportional to 15,716 and 34,207

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Solution

The third proportional to 15,716 and 34,207 is: 74,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 34,207 = 34,207 : x
  2. Step 2: Convert to fraction form
    15,716/34,207 = 34,207/x
  3. Step 3: Cross multiply
    15,716x = 34,207 × 34,207
  4. Step 4: Simplify right side
    15,716x = 1,170,118,849
  5. Step 5: Solve for x
    x = 1,170,118,849/15,716
  6. Step 6: Final answer
    x = 74,453.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.