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Finding the Third Proportional to 26,430 and 59,835

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Solution

The third proportional to 26,430 and 59,835 is: 135,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,430 : 59,835 = 59,835 : x
  2. Step 2: Convert to fraction form
    26,430/59,835 = 59,835/x
  3. Step 3: Cross multiply
    26,430x = 59,835 × 59,835
  4. Step 4: Simplify right side
    26,430x = 3,580,227,225
  5. Step 5: Solve for x
    x = 3,580,227,225/26,430
  6. Step 6: Final answer
    x = 135,460.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.