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Finding the Third Proportional to 24,346 and 37,594

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Solution

The third proportional to 24,346 and 37,594 is: 58,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346 : 37,594 = 37,594 : x
  2. Step 2: Convert to fraction form
    24,346/37,594 = 37,594/x
  3. Step 3: Cross multiply
    24,346x = 37,594 × 37,594
  4. Step 4: Simplify right side
    24,346x = 1,413,308,836
  5. Step 5: Solve for x
    x = 1,413,308,836/24,346
  6. Step 6: Final answer
    x = 58,050.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.