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Finding the Third Proportional to 37,752.50 and 55,532

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Solution

The third proportional to 37,752.50 and 55,532 is: 81,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.50 : 55,532 = 55,532 : x
  2. Step 2: Convert to fraction form
    37,752.50/55,532 = 55,532/x
  3. Step 3: Cross multiply
    37,752.50x = 55,532 × 55,532
  4. Step 4: Simplify right side
    37,752.50x = 3,083,803,024
  5. Step 5: Solve for x
    x = 3,083,803,024/37,752.50
  6. Step 6: Final answer
    x = 81,684.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.