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Finding the Third Proportional to 15,579 and 23,389

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Solution

The third proportional to 15,579 and 23,389 is: 35,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,579 : 23,389 = 23,389 : x
  2. Step 2: Convert to fraction form
    15,579/23,389 = 23,389/x
  3. Step 3: Cross multiply
    15,579x = 23,389 × 23,389
  4. Step 4: Simplify right side
    15,579x = 547,045,321
  5. Step 5: Solve for x
    x = 547,045,321/15,579
  6. Step 6: Final answer
    x = 35,114.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.