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Finding the Third Proportional to 30,303 and 65,946.75

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Solution

The third proportional to 30,303 and 65,946.75 is: 143,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303 : 65,946.75 = 65,946.75 : x
  2. Step 2: Convert to fraction form
    30,303/65,946.75 = 65,946.75/x
  3. Step 3: Cross multiply
    30,303x = 65,946.75 × 65,946.75
  4. Step 4: Simplify right side
    30,303x = 4,348,973,835.56
  5. Step 5: Solve for x
    x = 4,348,973,835.56/30,303
  6. Step 6: Final answer
    x = 143,516.28

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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.