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Finding the Third Proportional to 48,541 and 65,230

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Solution

The third proportional to 48,541 and 65,230 is: 87,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,541 : 65,230 = 65,230 : x
  2. Step 2: Convert to fraction form
    48,541/65,230 = 65,230/x
  3. Step 3: Cross multiply
    48,541x = 65,230 × 65,230
  4. Step 4: Simplify right side
    48,541x = 4,254,952,900
  5. Step 5: Solve for x
    x = 4,254,952,900/48,541
  6. Step 6: Final answer
    x = 87,656.89

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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.