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Finding the Third Proportional to 37,587.80 and 56,197.55

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Solution

The third proportional to 37,587.80 and 56,197.55 is: 84,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,587.80 : 56,197.55 = 56,197.55 : x
  2. Step 2: Convert to fraction form
    37,587.80/56,197.55 = 56,197.55/x
  3. Step 3: Cross multiply
    37,587.80x = 56,197.55 × 56,197.55
  4. Step 4: Simplify right side
    37,587.80x = 3,158,164,274.77
  5. Step 5: Solve for x
    x = 3,158,164,274.77/37,587.80
  6. Step 6: Final answer
    x = 84,021.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.