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Finding the Third Proportional to 23,358 and 35,003

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Solution

The third proportional to 23,358 and 35,003 is: 52,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358 : 35,003 = 35,003 : x
  2. Step 2: Convert to fraction form
    23,358/35,003 = 35,003/x
  3. Step 3: Cross multiply
    23,358x = 35,003 × 35,003
  4. Step 4: Simplify right side
    23,358x = 1,225,210,009
  5. Step 5: Solve for x
    x = 1,225,210,009/23,358
  6. Step 6: Final answer
    x = 52,453.55

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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.