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Finding the Third Proportional to 14,106.50 and 21,437

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Solution

The third proportional to 14,106.50 and 21,437 is: 32,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.50 : 21,437 = 21,437 : x
  2. Step 2: Convert to fraction form
    14,106.50/21,437 = 21,437/x
  3. Step 3: Cross multiply
    14,106.50x = 21,437 × 21,437
  4. Step 4: Simplify right side
    14,106.50x = 459,544,969
  5. Step 5: Solve for x
    x = 459,544,969/14,106.50
  6. Step 6: Final answer
    x = 32,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.