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Finding the Third Proportional to 38,875 and 58,303

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Solution

The third proportional to 38,875 and 58,303 is: 87,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,875 : 58,303 = 58,303 : x
  2. Step 2: Convert to fraction form
    38,875/58,303 = 58,303/x
  3. Step 3: Cross multiply
    38,875x = 58,303 × 58,303
  4. Step 4: Simplify right side
    38,875x = 3,399,239,809
  5. Step 5: Solve for x
    x = 3,399,239,809/38,875
  6. Step 6: Final answer
    x = 87,440.25

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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.