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Finding the Third Proportional to 29,033 and 61,180

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Solution

The third proportional to 29,033 and 61,180 is: 128,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,033 : 61,180 = 61,180 : x
  2. Step 2: Convert to fraction form
    29,033/61,180 = 61,180/x
  3. Step 3: Cross multiply
    29,033x = 61,180 × 61,180
  4. Step 4: Simplify right side
    29,033x = 3,742,992,400
  5. Step 5: Solve for x
    x = 3,742,992,400/29,033
  6. Step 6: Final answer
    x = 128,922.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.