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Finding the Third Proportional to 14,628.38 and 20,903.06

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Solution

The third proportional to 14,628.38 and 20,903.06 is: 29,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628.38 : 20,903.06 = 20,903.06 : x
  2. Step 2: Convert to fraction form
    14,628.38/20,903.06 = 20,903.06/x
  3. Step 3: Cross multiply
    14,628.38x = 20,903.06 × 20,903.06
  4. Step 4: Simplify right side
    14,628.38x = 436,938,021.88
  5. Step 5: Solve for x
    x = 436,938,021.88/14,628.38
  6. Step 6: Final answer
    x = 29,869.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.