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Finding the Third Proportional to 26,011.50 and 61,381.50

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Solution

The third proportional to 26,011.50 and 61,381.50 is: 144,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,011.50 : 61,381.50 = 61,381.50 : x
  2. Step 2: Convert to fraction form
    26,011.50/61,381.50 = 61,381.50/x
  3. Step 3: Cross multiply
    26,011.50x = 61,381.50 × 61,381.50
  4. Step 4: Simplify right side
    26,011.50x = 3,767,688,542.25
  5. Step 5: Solve for x
    x = 3,767,688,542.25/26,011.50
  6. Step 6: Final answer
    x = 144,847.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.