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Finding the Third Proportional to 26,224 and 39,340

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Solution

The third proportional to 26,224 and 39,340 is: 59,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224 : 39,340 = 39,340 : x
  2. Step 2: Convert to fraction form
    26,224/39,340 = 39,340/x
  3. Step 3: Cross multiply
    26,224x = 39,340 × 39,340
  4. Step 4: Simplify right side
    26,224x = 1,547,635,600
  5. Step 5: Solve for x
    x = 1,547,635,600/26,224
  6. Step 6: Final answer
    x = 59,016.00

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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.