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Finding the Third Proportional to 26,030 and 56,006

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Solution

The third proportional to 26,030 and 56,006 is: 120,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,030 : 56,006 = 56,006 : x
  2. Step 2: Convert to fraction form
    26,030/56,006 = 56,006/x
  3. Step 3: Cross multiply
    26,030x = 56,006 × 56,006
  4. Step 4: Simplify right side
    26,030x = 3,136,672,036
  5. Step 5: Solve for x
    x = 3,136,672,036/26,030
  6. Step 6: Final answer
    x = 120,502.19

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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.