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Finding the Third Proportional to 12,315 and 26,167.50

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Solution

The third proportional to 12,315 and 26,167.50 is: 55,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315 : 26,167.50 = 26,167.50 : x
  2. Step 2: Convert to fraction form
    12,315/26,167.50 = 26,167.50/x
  3. Step 3: Cross multiply
    12,315x = 26,167.50 × 26,167.50
  4. Step 4: Simplify right side
    12,315x = 684,738,056.25
  5. Step 5: Solve for x
    x = 684,738,056.25/12,315
  6. Step 6: Final answer
    x = 55,601.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.