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Finding the Third Proportional to 39,765 and 86,526.75

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Solution

The third proportional to 39,765 and 86,526.75 is: 188,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765 : 86,526.75 = 86,526.75 : x
  2. Step 2: Convert to fraction form
    39,765/86,526.75 = 86,526.75/x
  3. Step 3: Cross multiply
    39,765x = 86,526.75 × 86,526.75
  4. Step 4: Simplify right side
    39,765x = 7,486,878,465.56
  5. Step 5: Solve for x
    x = 7,486,878,465.56/39,765
  6. Step 6: Final answer
    x = 188,278.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.