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Finding the Third Proportional to 29,030 and 59,290

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Solution

The third proportional to 29,030 and 59,290 is: 121,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,030 : 59,290 = 59,290 : x
  2. Step 2: Convert to fraction form
    29,030/59,290 = 59,290/x
  3. Step 3: Cross multiply
    29,030x = 59,290 × 59,290
  4. Step 4: Simplify right side
    29,030x = 3,515,304,100
  5. Step 5: Solve for x
    x = 3,515,304,100/29,030
  6. Step 6: Final answer
    x = 121,092.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.