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Finding the Third Proportional to 30,175 and 65,533

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Solution

The third proportional to 30,175 and 65,533 is: 142,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175 : 65,533 = 65,533 : x
  2. Step 2: Convert to fraction form
    30,175/65,533 = 65,533/x
  3. Step 3: Cross multiply
    30,175x = 65,533 × 65,533
  4. Step 4: Simplify right side
    30,175x = 4,294,574,089
  5. Step 5: Solve for x
    x = 4,294,574,089/30,175
  6. Step 6: Final answer
    x = 142,322.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.