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Finding the Third Proportional to 9,412.88 and 21,426.19

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Solution

The third proportional to 9,412.88 and 21,426.19 is: 48,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.88 : 21,426.19 = 21,426.19 : x
  2. Step 2: Convert to fraction form
    9,412.88/21,426.19 = 21,426.19/x
  3. Step 3: Cross multiply
    9,412.88x = 21,426.19 × 21,426.19
  4. Step 4: Simplify right side
    9,412.88x = 459,081,510.79
  5. Step 5: Solve for x
    x = 459,081,510.79/9,412.88
  6. Step 6: Final answer
    x = 48,771.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.