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Finding the Third Proportional to 23,046 and 48,409.50

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Solution

The third proportional to 23,046 and 48,409.50 is: 101,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046 : 48,409.50 = 48,409.50 : x
  2. Step 2: Convert to fraction form
    23,046/48,409.50 = 48,409.50/x
  3. Step 3: Cross multiply
    23,046x = 48,409.50 × 48,409.50
  4. Step 4: Simplify right side
    23,046x = 2,343,479,690.25
  5. Step 5: Solve for x
    x = 2,343,479,690.25/23,046
  6. Step 6: Final answer
    x = 101,687.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.