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Finding the Third Proportional to 28,030 and 58,004

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Solution

The third proportional to 28,030 and 58,004 is: 120,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,030 : 58,004 = 58,004 : x
  2. Step 2: Convert to fraction form
    28,030/58,004 = 58,004/x
  3. Step 3: Cross multiply
    28,030x = 58,004 × 58,004
  4. Step 4: Simplify right side
    28,030x = 3,364,464,016
  5. Step 5: Solve for x
    x = 3,364,464,016/28,030
  6. Step 6: Final answer
    x = 120,030.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.