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Finding the Third Proportional to 48,015 and 64,244.25

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Solution

The third proportional to 48,015 and 64,244.25 is: 85,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015 : 64,244.25 = 64,244.25 : x
  2. Step 2: Convert to fraction form
    48,015/64,244.25 = 64,244.25/x
  3. Step 3: Cross multiply
    48,015x = 64,244.25 × 64,244.25
  4. Step 4: Simplify right side
    48,015x = 4,127,323,658.06
  5. Step 5: Solve for x
    x = 4,127,323,658.06/48,015
  6. Step 6: Final answer
    x = 85,959.05

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Why These Related Problems?

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