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Finding the Third Proportional to 15,740 and 24,157

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Solution

The third proportional to 15,740 and 24,157 is: 37,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 24,157 = 24,157 : x
  2. Step 2: Convert to fraction form
    15,740/24,157 = 24,157/x
  3. Step 3: Cross multiply
    15,740x = 24,157 × 24,157
  4. Step 4: Simplify right side
    15,740x = 583,560,649
  5. Step 5: Solve for x
    x = 583,560,649/15,740
  6. Step 6: Final answer
    x = 37,075.01

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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.