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Finding the Third Proportional to 23,929 and 35,659

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Solution

The third proportional to 23,929 and 35,659 is: 53,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,929 : 35,659 = 35,659 : x
  2. Step 2: Convert to fraction form
    23,929/35,659 = 35,659/x
  3. Step 3: Cross multiply
    23,929x = 35,659 × 35,659
  4. Step 4: Simplify right side
    23,929x = 1,271,564,281
  5. Step 5: Solve for x
    x = 1,271,564,281/23,929
  6. Step 6: Final answer
    x = 53,139.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.