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Finding the Third Proportional to 23,494.13 and 52,903.13

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Solution

The third proportional to 23,494.13 and 52,903.13 is: 119,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.13 : 52,903.13 = 52,903.13 : x
  2. Step 2: Convert to fraction form
    23,494.13/52,903.13 = 52,903.13/x
  3. Step 3: Cross multiply
    23,494.13x = 52,903.13 × 52,903.13
  4. Step 4: Simplify right side
    23,494.13x = 2,798,740,634.77
  5. Step 5: Solve for x
    x = 2,798,740,634.77/23,494.13
  6. Step 6: Final answer
    x = 119,125.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.