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Finding the Third Proportional to 30,719.25 and 64,530

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Solution

The third proportional to 30,719.25 and 64,530 is: 135,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.25 : 64,530 = 64,530 : x
  2. Step 2: Convert to fraction form
    30,719.25/64,530 = 64,530/x
  3. Step 3: Cross multiply
    30,719.25x = 64,530 × 64,530
  4. Step 4: Simplify right side
    30,719.25x = 4,164,120,900
  5. Step 5: Solve for x
    x = 4,164,120,900/30,719.25
  6. Step 6: Final answer
    x = 135,554.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.