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Finding the Third Proportional to 7,448 and 14,520

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Solution

The third proportional to 7,448 and 14,520 is: 28,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 14,520 = 14,520 : x
  2. Step 2: Convert to fraction form
    7,448/14,520 = 14,520/x
  3. Step 3: Cross multiply
    7,448x = 14,520 × 14,520
  4. Step 4: Simplify right side
    7,448x = 210,830,400
  5. Step 5: Solve for x
    x = 210,830,400/7,448
  6. Step 6: Final answer
    x = 28,306.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.