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Finding the Third Proportional to 13,666.50 and 29,731

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Solution

The third proportional to 13,666.50 and 29,731 is: 64,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.50 : 29,731 = 29,731 : x
  2. Step 2: Convert to fraction form
    13,666.50/29,731 = 29,731/x
  3. Step 3: Cross multiply
    13,666.50x = 29,731 × 29,731
  4. Step 4: Simplify right side
    13,666.50x = 883,932,361
  5. Step 5: Solve for x
    x = 883,932,361/13,666.50
  6. Step 6: Final answer
    x = 64,678.77

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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.