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Finding the Third Proportional to 27,904.50 and 39,031.88

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Solution

The third proportional to 27,904.50 and 39,031.88 is: 54,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.50 : 39,031.88 = 39,031.88 : x
  2. Step 2: Convert to fraction form
    27,904.50/39,031.88 = 39,031.88/x
  3. Step 3: Cross multiply
    27,904.50x = 39,031.88 × 39,031.88
  4. Step 4: Simplify right side
    27,904.50x = 1,523,487,266.02
  5. Step 5: Solve for x
    x = 1,523,487,266.02/27,904.50
  6. Step 6: Final answer
    x = 54,596.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.