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Finding the Third Proportional to 9,582 and 20,945.25

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Solution

The third proportional to 9,582 and 20,945.25 is: 45,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 20,945.25 = 20,945.25 : x
  2. Step 2: Convert to fraction form
    9,582/20,945.25 = 20,945.25/x
  3. Step 3: Cross multiply
    9,582x = 20,945.25 × 20,945.25
  4. Step 4: Simplify right side
    9,582x = 438,703,497.56
  5. Step 5: Solve for x
    x = 438,703,497.56/9,582
  6. Step 6: Final answer
    x = 45,784.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.