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Finding the Third Proportional to 22,307.25 and 30,588.19

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Solution

The third proportional to 22,307.25 and 30,588.19 is: 41,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.25 : 30,588.19 = 30,588.19 : x
  2. Step 2: Convert to fraction form
    22,307.25/30,588.19 = 30,588.19/x
  3. Step 3: Cross multiply
    22,307.25x = 30,588.19 × 30,588.19
  4. Step 4: Simplify right side
    22,307.25x = 935,637,214.54
  5. Step 5: Solve for x
    x = 935,637,214.54/22,307.25
  6. Step 6: Final answer
    x = 41,943.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.