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Finding the Third Proportional to 26,030 and 56,010

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Solution

The third proportional to 26,030 and 56,010 is: 120,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,030 : 56,010 = 56,010 : x
  2. Step 2: Convert to fraction form
    26,030/56,010 = 56,010/x
  3. Step 3: Cross multiply
    26,030x = 56,010 × 56,010
  4. Step 4: Simplify right side
    26,030x = 3,137,120,100
  5. Step 5: Solve for x
    x = 3,137,120,100/26,030
  6. Step 6: Final answer
    x = 120,519.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.