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Finding the Third Proportional to 14,207 and 29,911.50

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Solution

The third proportional to 14,207 and 29,911.50 is: 62,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207 : 29,911.50 = 29,911.50 : x
  2. Step 2: Convert to fraction form
    14,207/29,911.50 = 29,911.50/x
  3. Step 3: Cross multiply
    14,207x = 29,911.50 × 29,911.50
  4. Step 4: Simplify right side
    14,207x = 894,697,832.25
  5. Step 5: Solve for x
    x = 894,697,832.25/14,207
  6. Step 6: Final answer
    x = 62,975.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.