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Finding the Third Proportional to 24,598 and 37,985

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Solution

The third proportional to 24,598 and 37,985 is: 58,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 37,985 = 37,985 : x
  2. Step 2: Convert to fraction form
    24,598/37,985 = 37,985/x
  3. Step 3: Cross multiply
    24,598x = 37,985 × 37,985
  4. Step 4: Simplify right side
    24,598x = 1,442,860,225
  5. Step 5: Solve for x
    x = 1,442,860,225/24,598
  6. Step 6: Final answer
    x = 58,657.62

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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.