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Finding the Third Proportional to 35,454 and 55,624.50

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Solution

The third proportional to 35,454 and 55,624.50 is: 87,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454 : 55,624.50 = 55,624.50 : x
  2. Step 2: Convert to fraction form
    35,454/55,624.50 = 55,624.50/x
  3. Step 3: Cross multiply
    35,454x = 55,624.50 × 55,624.50
  4. Step 4: Simplify right side
    35,454x = 3,094,085,000.25
  5. Step 5: Solve for x
    x = 3,094,085,000.25/35,454
  6. Step 6: Final answer
    x = 87,270.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.