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Finding the Third Proportional to 26,854 and 56,409

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Solution

The third proportional to 26,854 and 56,409 is: 118,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854 : 56,409 = 56,409 : x
  2. Step 2: Convert to fraction form
    26,854/56,409 = 56,409/x
  3. Step 3: Cross multiply
    26,854x = 56,409 × 56,409
  4. Step 4: Simplify right side
    26,854x = 3,181,975,281
  5. Step 5: Solve for x
    x = 3,181,975,281/26,854
  6. Step 6: Final answer
    x = 118,491.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.