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Finding the Third Proportional to 23,046 and 49,595.25

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Solution

The third proportional to 23,046 and 49,595.25 is: 106,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046 : 49,595.25 = 49,595.25 : x
  2. Step 2: Convert to fraction form
    23,046/49,595.25 = 49,595.25/x
  3. Step 3: Cross multiply
    23,046x = 49,595.25 × 49,595.25
  4. Step 4: Simplify right side
    23,046x = 2,459,688,822.56
  5. Step 5: Solve for x
    x = 2,459,688,822.56/23,046
  6. Step 6: Final answer
    x = 106,729.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.