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Finding the Third Proportional to 26,235 and 39,342

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Solution

The third proportional to 26,235 and 39,342 is: 58,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,235 : 39,342 = 39,342 : x
  2. Step 2: Convert to fraction form
    26,235/39,342 = 39,342/x
  3. Step 3: Cross multiply
    26,235x = 39,342 × 39,342
  4. Step 4: Simplify right side
    26,235x = 1,547,792,964
  5. Step 5: Solve for x
    x = 1,547,792,964/26,235
  6. Step 6: Final answer
    x = 58,997.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.