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Finding the Third Proportional to 24,852 and 37,511

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Solution

The third proportional to 24,852 and 37,511 is: 56,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 37,511 = 37,511 : x
  2. Step 2: Convert to fraction form
    24,852/37,511 = 37,511/x
  3. Step 3: Cross multiply
    24,852x = 37,511 × 37,511
  4. Step 4: Simplify right side
    24,852x = 1,407,075,121
  5. Step 5: Solve for x
    x = 1,407,075,121/24,852
  6. Step 6: Final answer
    x = 56,618.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.