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Finding the Third Proportional to 30,084.75 and 64,197

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Solution

The third proportional to 30,084.75 and 64,197 is: 136,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.75 : 64,197 = 64,197 : x
  2. Step 2: Convert to fraction form
    30,084.75/64,197 = 64,197/x
  3. Step 3: Cross multiply
    30,084.75x = 64,197 × 64,197
  4. Step 4: Simplify right side
    30,084.75x = 4,121,254,809
  5. Step 5: Solve for x
    x = 4,121,254,809/30,084.75
  6. Step 6: Final answer
    x = 136,988.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.