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Finding the Third Proportional to 14,312.25 and 29,524.50

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Solution

The third proportional to 14,312.25 and 29,524.50 is: 60,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.25 : 29,524.50 = 29,524.50 : x
  2. Step 2: Convert to fraction form
    14,312.25/29,524.50 = 29,524.50/x
  3. Step 3: Cross multiply
    14,312.25x = 29,524.50 × 29,524.50
  4. Step 4: Simplify right side
    14,312.25x = 871,696,100.25
  5. Step 5: Solve for x
    x = 871,696,100.25/14,312.25
  6. Step 6: Final answer
    x = 60,905.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.