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Finding the Third Proportional to 23,348 and 35,506

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Solution

The third proportional to 23,348 and 35,506 is: 53,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348 : 35,506 = 35,506 : x
  2. Step 2: Convert to fraction form
    23,348/35,506 = 35,506/x
  3. Step 3: Cross multiply
    23,348x = 35,506 × 35,506
  4. Step 4: Simplify right side
    23,348x = 1,260,676,036
  5. Step 5: Solve for x
    x = 1,260,676,036/23,348
  6. Step 6: Final answer
    x = 53,995.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.