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Finding the Third Proportional to 14,970.38 and 20,814.94

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Solution

The third proportional to 14,970.38 and 20,814.94 is: 28,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.38 : 20,814.94 = 20,814.94 : x
  2. Step 2: Convert to fraction form
    14,970.38/20,814.94 = 20,814.94/x
  3. Step 3: Cross multiply
    14,970.38x = 20,814.94 × 20,814.94
  4. Step 4: Simplify right side
    14,970.38x = 433,261,623.13
  5. Step 5: Solve for x
    x = 433,261,623.13/14,970.38
  6. Step 6: Final answer
    x = 28,941.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.