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Finding the Third Proportional to 30,084 and 65,808

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Solution

The third proportional to 30,084 and 65,808 is: 143,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 65,808 = 65,808 : x
  2. Step 2: Convert to fraction form
    30,084/65,808 = 65,808/x
  3. Step 3: Cross multiply
    30,084x = 65,808 × 65,808
  4. Step 4: Simplify right side
    30,084x = 4,330,692,864
  5. Step 5: Solve for x
    x = 4,330,692,864/30,084
  6. Step 6: Final answer
    x = 143,953.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.