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Finding the Third Proportional to 32,575.50 and 43,031.25

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Solution

The third proportional to 32,575.50 and 43,031.25 is: 56,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.50 : 43,031.25 = 43,031.25 : x
  2. Step 2: Convert to fraction form
    32,575.50/43,031.25 = 43,031.25/x
  3. Step 3: Cross multiply
    32,575.50x = 43,031.25 × 43,031.25
  4. Step 4: Simplify right side
    32,575.50x = 1,851,688,476.56
  5. Step 5: Solve for x
    x = 1,851,688,476.56/32,575.50
  6. Step 6: Final answer
    x = 56,842.98

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.