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Finding the Third Proportional to 39,526 and 60,278

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Solution

The third proportional to 39,526 and 60,278 is: 91,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,526 : 60,278 = 60,278 : x
  2. Step 2: Convert to fraction form
    39,526/60,278 = 60,278/x
  3. Step 3: Cross multiply
    39,526x = 60,278 × 60,278
  4. Step 4: Simplify right side
    39,526x = 3,633,437,284
  5. Step 5: Solve for x
    x = 3,633,437,284/39,526
  6. Step 6: Final answer
    x = 91,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.