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Finding the Third Proportional to 22,300 and 35,303

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Solution

The third proportional to 22,300 and 35,303 is: 55,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300 : 35,303 = 35,303 : x
  2. Step 2: Convert to fraction form
    22,300/35,303 = 35,303/x
  3. Step 3: Cross multiply
    22,300x = 35,303 × 35,303
  4. Step 4: Simplify right side
    22,300x = 1,246,301,809
  5. Step 5: Solve for x
    x = 1,246,301,809/22,300
  6. Step 6: Final answer
    x = 55,887.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.