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Finding the Third Proportional to 9,945.84 and 21,448.41

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Solution

The third proportional to 9,945.84 and 21,448.41 is: 46,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.84 : 21,448.41 = 21,448.41 : x
  2. Step 2: Convert to fraction form
    9,945.84/21,448.41 = 21,448.41/x
  3. Step 3: Cross multiply
    9,945.84x = 21,448.41 × 21,448.41
  4. Step 4: Simplify right side
    9,945.84x = 460,034,130.67
  5. Step 5: Solve for x
    x = 460,034,130.67/9,945.84
  6. Step 6: Final answer
    x = 46,253.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.