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Finding the Third Proportional to 14,575.50 and 25,236

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Solution

The third proportional to 14,575.50 and 25,236 is: 43,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.50 : 25,236 = 25,236 : x
  2. Step 2: Convert to fraction form
    14,575.50/25,236 = 25,236/x
  3. Step 3: Cross multiply
    14,575.50x = 25,236 × 25,236
  4. Step 4: Simplify right side
    14,575.50x = 636,855,696
  5. Step 5: Solve for x
    x = 636,855,696/14,575.50
  6. Step 6: Final answer
    x = 43,693.57

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.