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Finding the Third Proportional to 15,642 and 23,598

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Solution

The third proportional to 15,642 and 23,598 is: 35,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,598 = 23,598 : x
  2. Step 2: Convert to fraction form
    15,642/23,598 = 23,598/x
  3. Step 3: Cross multiply
    15,642x = 23,598 × 23,598
  4. Step 4: Simplify right side
    15,642x = 556,865,604
  5. Step 5: Solve for x
    x = 556,865,604/15,642
  6. Step 6: Final answer
    x = 35,600.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.