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Finding the Third Proportional to 21,262.50 and 32,402.53

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Solution

The third proportional to 21,262.50 and 32,402.53 is: 49,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.50 : 32,402.53 = 32,402.53 : x
  2. Step 2: Convert to fraction form
    21,262.50/32,402.53 = 32,402.53/x
  3. Step 3: Cross multiply
    21,262.50x = 32,402.53 × 32,402.53
  4. Step 4: Simplify right side
    21,262.50x = 1,049,924,031.41
  5. Step 5: Solve for x
    x = 1,049,924,031.41/21,262.50
  6. Step 6: Final answer
    x = 49,379.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.