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Finding the Third Proportional to 24,606 and 58,585.50

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Solution

The third proportional to 24,606 and 58,585.50 is: 139,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606 : 58,585.50 = 58,585.50 : x
  2. Step 2: Convert to fraction form
    24,606/58,585.50 = 58,585.50/x
  3. Step 3: Cross multiply
    24,606x = 58,585.50 × 58,585.50
  4. Step 4: Simplify right side
    24,606x = 3,432,260,810.25
  5. Step 5: Solve for x
    x = 3,432,260,810.25/24,606
  6. Step 6: Final answer
    x = 139,488.78

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.