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Finding the Third Proportional to 18,167 and 28,547

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Solution

The third proportional to 18,167 and 28,547 is: 44,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,167 : 28,547 = 28,547 : x
  2. Step 2: Convert to fraction form
    18,167/28,547 = 28,547/x
  3. Step 3: Cross multiply
    18,167x = 28,547 × 28,547
  4. Step 4: Simplify right side
    18,167x = 814,931,209
  5. Step 5: Solve for x
    x = 814,931,209/18,167
  6. Step 6: Final answer
    x = 44,857.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.