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Finding the Third Proportional to 32,503.50 and 51,575.63

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Solution

The third proportional to 32,503.50 and 51,575.63 is: 81,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.50 : 51,575.63 = 51,575.63 : x
  2. Step 2: Convert to fraction form
    32,503.50/51,575.63 = 51,575.63/x
  3. Step 3: Cross multiply
    32,503.50x = 51,575.63 × 51,575.63
  4. Step 4: Simplify right side
    32,503.50x = 2,660,045,094.14
  5. Step 5: Solve for x
    x = 2,660,045,094.14/32,503.50
  6. Step 6: Final answer
    x = 81,838.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.