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Finding the Third Proportional to 8,030 and 19,343

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Solution

The third proportional to 8,030 and 19,343 is: 46,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030 : 19,343 = 19,343 : x
  2. Step 2: Convert to fraction form
    8,030/19,343 = 19,343/x
  3. Step 3: Cross multiply
    8,030x = 19,343 × 19,343
  4. Step 4: Simplify right side
    8,030x = 374,151,649
  5. Step 5: Solve for x
    x = 374,151,649/8,030
  6. Step 6: Final answer
    x = 46,594.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.