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Finding the Third Proportional to 23,480 and 35,222

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Solution

The third proportional to 23,480 and 35,222 is: 52,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480 : 35,222 = 35,222 : x
  2. Step 2: Convert to fraction form
    23,480/35,222 = 35,222/x
  3. Step 3: Cross multiply
    23,480x = 35,222 × 35,222
  4. Step 4: Simplify right side
    23,480x = 1,240,589,284
  5. Step 5: Solve for x
    x = 1,240,589,284/23,480
  6. Step 6: Final answer
    x = 52,836.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.