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Finding the Third Proportional to 15,583 and 23,369

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Solution

The third proportional to 15,583 and 23,369 is: 35,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583 : 23,369 = 23,369 : x
  2. Step 2: Convert to fraction form
    15,583/23,369 = 23,369/x
  3. Step 3: Cross multiply
    15,583x = 23,369 × 23,369
  4. Step 4: Simplify right side
    15,583x = 546,110,161
  5. Step 5: Solve for x
    x = 546,110,161/15,583
  6. Step 6: Final answer
    x = 35,045.25

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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.