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Finding the Third Proportional to 14,838.50 and 23,108.75

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Solution

The third proportional to 14,838.50 and 23,108.75 is: 35,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.50 : 23,108.75 = 23,108.75 : x
  2. Step 2: Convert to fraction form
    14,838.50/23,108.75 = 23,108.75/x
  3. Step 3: Cross multiply
    14,838.50x = 23,108.75 × 23,108.75
  4. Step 4: Simplify right side
    14,838.50x = 534,014,326.56
  5. Step 5: Solve for x
    x = 534,014,326.56/14,838.50
  6. Step 6: Final answer
    x = 35,988.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.