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Finding the Third Proportional to 26,503.50 and 56,590.50

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Solution

The third proportional to 26,503.50 and 56,590.50 is: 120,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.50 : 56,590.50 = 56,590.50 : x
  2. Step 2: Convert to fraction form
    26,503.50/56,590.50 = 56,590.50/x
  3. Step 3: Cross multiply
    26,503.50x = 56,590.50 × 56,590.50
  4. Step 4: Simplify right side
    26,503.50x = 3,202,484,690.25
  5. Step 5: Solve for x
    x = 3,202,484,690.25/26,503.50
  6. Step 6: Final answer
    x = 120,832.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.