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Finding the Third Proportional to 47,403 and 63,607.50

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Solution

The third proportional to 47,403 and 63,607.50 is: 85,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,403 : 63,607.50 = 63,607.50 : x
  2. Step 2: Convert to fraction form
    47,403/63,607.50 = 63,607.50/x
  3. Step 3: Cross multiply
    47,403x = 63,607.50 × 63,607.50
  4. Step 4: Simplify right side
    47,403x = 4,045,914,056.25
  5. Step 5: Solve for x
    x = 4,045,914,056.25/47,403
  6. Step 6: Final answer
    x = 85,351.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.