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Finding the Third Proportional to 15,583 and 23,310

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Solution

The third proportional to 15,583 and 23,310 is: 34,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583 : 23,310 = 23,310 : x
  2. Step 2: Convert to fraction form
    15,583/23,310 = 23,310/x
  3. Step 3: Cross multiply
    15,583x = 23,310 × 23,310
  4. Step 4: Simplify right side
    15,583x = 543,356,100
  5. Step 5: Solve for x
    x = 543,356,100/15,583
  6. Step 6: Final answer
    x = 34,868.52

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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.