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Finding the Third Proportional to 26,730 and 35,970.75

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Solution

The third proportional to 26,730 and 35,970.75 is: 48,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,730 : 35,970.75 = 35,970.75 : x
  2. Step 2: Convert to fraction form
    26,730/35,970.75 = 35,970.75/x
  3. Step 3: Cross multiply
    26,730x = 35,970.75 × 35,970.75
  4. Step 4: Simplify right side
    26,730x = 1,293,894,855.56
  5. Step 5: Solve for x
    x = 1,293,894,855.56/26,730
  6. Step 6: Final answer
    x = 48,406.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.