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Finding the Third Proportional to 24,564 and 35,106

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Solution

The third proportional to 24,564 and 35,106 is: 50,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 35,106 = 35,106 : x
  2. Step 2: Convert to fraction form
    24,564/35,106 = 35,106/x
  3. Step 3: Cross multiply
    24,564x = 35,106 × 35,106
  4. Step 4: Simplify right side
    24,564x = 1,232,431,236
  5. Step 5: Solve for x
    x = 1,232,431,236/24,564
  6. Step 6: Final answer
    x = 50,172.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.