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Finding the Third Proportional to 30,680.75 and 63,319

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Solution

The third proportional to 30,680.75 and 63,319 is: 130,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.75 : 63,319 = 63,319 : x
  2. Step 2: Convert to fraction form
    30,680.75/63,319 = 63,319/x
  3. Step 3: Cross multiply
    30,680.75x = 63,319 × 63,319
  4. Step 4: Simplify right side
    30,680.75x = 4,009,295,761
  5. Step 5: Solve for x
    x = 4,009,295,761/30,680.75
  6. Step 6: Final answer
    x = 130,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.