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Finding the Third Proportional to 29,056 and 61,504

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Solution

The third proportional to 29,056 and 61,504 is: 130,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,056 : 61,504 = 61,504 : x
  2. Step 2: Convert to fraction form
    29,056/61,504 = 61,504/x
  3. Step 3: Cross multiply
    29,056x = 61,504 × 61,504
  4. Step 4: Simplify right side
    29,056x = 3,782,742,016
  5. Step 5: Solve for x
    x = 3,782,742,016/29,056
  6. Step 6: Final answer
    x = 130,187.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.