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Finding the Third Proportional to 23,030 and 36,087

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Solution

The third proportional to 23,030 and 36,087 is: 56,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030 : 36,087 = 36,087 : x
  2. Step 2: Convert to fraction form
    23,030/36,087 = 36,087/x
  3. Step 3: Cross multiply
    23,030x = 36,087 × 36,087
  4. Step 4: Simplify right side
    23,030x = 1,302,271,569
  5. Step 5: Solve for x
    x = 1,302,271,569/23,030
  6. Step 6: Final answer
    x = 56,546.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.