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Finding the Third Proportional to 23,310 and 35,657

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Solution

The third proportional to 23,310 and 35,657 is: 54,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310 : 35,657 = 35,657 : x
  2. Step 2: Convert to fraction form
    23,310/35,657 = 35,657/x
  3. Step 3: Cross multiply
    23,310x = 35,657 × 35,657
  4. Step 4: Simplify right side
    23,310x = 1,271,421,649
  5. Step 5: Solve for x
    x = 1,271,421,649/23,310
  6. Step 6: Final answer
    x = 54,544.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.