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Finding the Third Proportional to 24,368 and 37,205

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Solution

The third proportional to 24,368 and 37,205 is: 56,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,368 : 37,205 = 37,205 : x
  2. Step 2: Convert to fraction form
    24,368/37,205 = 37,205/x
  3. Step 3: Cross multiply
    24,368x = 37,205 × 37,205
  4. Step 4: Simplify right side
    24,368x = 1,384,212,025
  5. Step 5: Solve for x
    x = 1,384,212,025/24,368
  6. Step 6: Final answer
    x = 56,804.50

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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.