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Finding the Third Proportional to 48,501.75 and 70,869.75

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Solution

The third proportional to 48,501.75 and 70,869.75 is: 103,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,501.75 : 70,869.75 = 70,869.75 : x
  2. Step 2: Convert to fraction form
    48,501.75/70,869.75 = 70,869.75/x
  3. Step 3: Cross multiply
    48,501.75x = 70,869.75 × 70,869.75
  4. Step 4: Simplify right side
    48,501.75x = 5,022,521,465.06
  5. Step 5: Solve for x
    x = 5,022,521,465.06/48,501.75
  6. Step 6: Final answer
    x = 103,553.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.