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Finding the Third Proportional to 7,167 and 14,541

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Solution

The third proportional to 7,167 and 14,541 is: 29,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167 : 14,541 = 14,541 : x
  2. Step 2: Convert to fraction form
    7,167/14,541 = 14,541/x
  3. Step 3: Cross multiply
    7,167x = 14,541 × 14,541
  4. Step 4: Simplify right side
    7,167x = 211,440,681
  5. Step 5: Solve for x
    x = 211,440,681/7,167
  6. Step 6: Final answer
    x = 29,501.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.