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Finding the Third Proportional to 28,030 and 58,434

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Solution

The third proportional to 28,030 and 58,434 is: 121,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,030 : 58,434 = 58,434 : x
  2. Step 2: Convert to fraction form
    28,030/58,434 = 58,434/x
  3. Step 3: Cross multiply
    28,030x = 58,434 × 58,434
  4. Step 4: Simplify right side
    28,030x = 3,414,532,356
  5. Step 5: Solve for x
    x = 3,414,532,356/28,030
  6. Step 6: Final answer
    x = 121,817.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.