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Finding the Third Proportional to 20,953.50 and 30,302.25

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Solution

The third proportional to 20,953.50 and 30,302.25 is: 43,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.50 : 30,302.25 = 30,302.25 : x
  2. Step 2: Convert to fraction form
    20,953.50/30,302.25 = 30,302.25/x
  3. Step 3: Cross multiply
    20,953.50x = 30,302.25 × 30,302.25
  4. Step 4: Simplify right side
    20,953.50x = 918,226,355.06
  5. Step 5: Solve for x
    x = 918,226,355.06/20,953.50
  6. Step 6: Final answer
    x = 43,822.10

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.