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Finding the Third Proportional to 21,130.31 and 32,701.50

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Solution

The third proportional to 21,130.31 and 32,701.50 is: 50,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.31 : 32,701.50 = 32,701.50 : x
  2. Step 2: Convert to fraction form
    21,130.31/32,701.50 = 32,701.50/x
  3. Step 3: Cross multiply
    21,130.31x = 32,701.50 × 32,701.50
  4. Step 4: Simplify right side
    21,130.31x = 1,069,388,102.25
  5. Step 5: Solve for x
    x = 1,069,388,102.25/21,130.31
  6. Step 6: Final answer
    x = 50,609.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.