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Finding the Third Proportional to 26,730 and 43,501.50

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Solution

The third proportional to 26,730 and 43,501.50 is: 70,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,730 : 43,501.50 = 43,501.50 : x
  2. Step 2: Convert to fraction form
    26,730/43,501.50 = 43,501.50/x
  3. Step 3: Cross multiply
    26,730x = 43,501.50 × 43,501.50
  4. Step 4: Simplify right side
    26,730x = 1,892,380,502.25
  5. Step 5: Solve for x
    x = 1,892,380,502.25/26,730
  6. Step 6: Final answer
    x = 70,796.13

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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.