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Finding the Third Proportional to 11,913 and 26,164.50

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Solution

The third proportional to 11,913 and 26,164.50 is: 57,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913 : 26,164.50 = 26,164.50 : x
  2. Step 2: Convert to fraction form
    11,913/26,164.50 = 26,164.50/x
  3. Step 3: Cross multiply
    11,913x = 26,164.50 × 26,164.50
  4. Step 4: Simplify right side
    11,913x = 684,581,060.25
  5. Step 5: Solve for x
    x = 684,581,060.25/11,913
  6. Step 6: Final answer
    x = 57,465.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.