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Finding the Third Proportional to 12,894.19 and 30,329.44

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Solution

The third proportional to 12,894.19 and 30,329.44 is: 71,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 30,329.44 = 30,329.44 : x
  2. Step 2: Convert to fraction form
    12,894.19/30,329.44 = 30,329.44/x
  3. Step 3: Cross multiply
    12,894.19x = 30,329.44 × 30,329.44
  4. Step 4: Simplify right side
    12,894.19x = 919,874,779.07
  5. Step 5: Solve for x
    x = 919,874,779.07/12,894.19
  6. Step 6: Final answer
    x = 71,340.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.