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Finding the Third Proportional to 26,210 and 39,333

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Solution

The third proportional to 26,210 and 39,333 is: 59,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,210 : 39,333 = 39,333 : x
  2. Step 2: Convert to fraction form
    26,210/39,333 = 39,333/x
  3. Step 3: Cross multiply
    26,210x = 39,333 × 39,333
  4. Step 4: Simplify right side
    26,210x = 1,547,084,889
  5. Step 5: Solve for x
    x = 1,547,084,889/26,210
  6. Step 6: Final answer
    x = 59,026.51

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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.