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Finding the Third Proportional to 35,094 and 45,533

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Solution

The third proportional to 35,094 and 45,533 is: 59,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,094 : 45,533 = 45,533 : x
  2. Step 2: Convert to fraction form
    35,094/45,533 = 45,533/x
  3. Step 3: Cross multiply
    35,094x = 45,533 × 45,533
  4. Step 4: Simplify right side
    35,094x = 2,073,254,089
  5. Step 5: Solve for x
    x = 2,073,254,089/35,094
  6. Step 6: Final answer
    x = 59,077.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.