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Finding the Third Proportional to 15,044 and 22,919

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Solution

The third proportional to 15,044 and 22,919 is: 34,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,044 : 22,919 = 22,919 : x
  2. Step 2: Convert to fraction form
    15,044/22,919 = 22,919/x
  3. Step 3: Cross multiply
    15,044x = 22,919 × 22,919
  4. Step 4: Simplify right side
    15,044x = 525,280,561
  5. Step 5: Solve for x
    x = 525,280,561/15,044
  6. Step 6: Final answer
    x = 34,916.28

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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.