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Finding the Third Proportional to 9,929.25 and 20,675.25

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Solution

The third proportional to 9,929.25 and 20,675.25 is: 43,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.25 : 20,675.25 = 20,675.25 : x
  2. Step 2: Convert to fraction form
    9,929.25/20,675.25 = 20,675.25/x
  3. Step 3: Cross multiply
    9,929.25x = 20,675.25 × 20,675.25
  4. Step 4: Simplify right side
    9,929.25x = 427,465,962.56
  5. Step 5: Solve for x
    x = 427,465,962.56/9,929.25
  6. Step 6: Final answer
    x = 43,051.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.