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Finding the Third Proportional to 26,584 and 40,807

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Solution

The third proportional to 26,584 and 40,807 is: 62,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584 : 40,807 = 40,807 : x
  2. Step 2: Convert to fraction form
    26,584/40,807 = 40,807/x
  3. Step 3: Cross multiply
    26,584x = 40,807 × 40,807
  4. Step 4: Simplify right side
    26,584x = 1,665,211,249
  5. Step 5: Solve for x
    x = 1,665,211,249/26,584
  6. Step 6: Final answer
    x = 62,639.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.