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Finding the Third Proportional to 26,706.50 and 43,406.50

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Solution

The third proportional to 26,706.50 and 43,406.50 is: 70,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.50 : 43,406.50 = 43,406.50 : x
  2. Step 2: Convert to fraction form
    26,706.50/43,406.50 = 43,406.50/x
  3. Step 3: Cross multiply
    26,706.50x = 43,406.50 × 43,406.50
  4. Step 4: Simplify right side
    26,706.50x = 1,884,124,242.25
  5. Step 5: Solve for x
    x = 1,884,124,242.25/26,706.50
  6. Step 6: Final answer
    x = 70,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.