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Finding the Third Proportional to 12,558 and 27,869.50

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Solution

The third proportional to 12,558 and 27,869.50 is: 61,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,558 : 27,869.50 = 27,869.50 : x
  2. Step 2: Convert to fraction form
    12,558/27,869.50 = 27,869.50/x
  3. Step 3: Cross multiply
    12,558x = 27,869.50 × 27,869.50
  4. Step 4: Simplify right side
    12,558x = 776,709,030.25
  5. Step 5: Solve for x
    x = 776,709,030.25/12,558
  6. Step 6: Final answer
    x = 61,849.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.