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Finding the Third Proportional to 29,961 and 43,159.50

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Solution

The third proportional to 29,961 and 43,159.50 is: 62,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961 : 43,159.50 = 43,159.50 : x
  2. Step 2: Convert to fraction form
    29,961/43,159.50 = 43,159.50/x
  3. Step 3: Cross multiply
    29,961x = 43,159.50 × 43,159.50
  4. Step 4: Simplify right side
    29,961x = 1,862,742,440.25
  5. Step 5: Solve for x
    x = 1,862,742,440.25/29,961
  6. Step 6: Final answer
    x = 62,172.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.