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Finding the Third Proportional to 26,135 and 39,445

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Solution

The third proportional to 26,135 and 39,445 is: 59,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,135 : 39,445 = 39,445 : x
  2. Step 2: Convert to fraction form
    26,135/39,445 = 39,445/x
  3. Step 3: Cross multiply
    26,135x = 39,445 × 39,445
  4. Step 4: Simplify right side
    26,135x = 1,555,908,025
  5. Step 5: Solve for x
    x = 1,555,908,025/26,135
  6. Step 6: Final answer
    x = 59,533.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.