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Finding the Third Proportional to 48,438.63 and 70,744.32

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Solution

The third proportional to 48,438.63 and 70,744.32 is: 103,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438.63 : 70,744.32 = 70,744.32 : x
  2. Step 2: Convert to fraction form
    48,438.63/70,744.32 = 70,744.32/x
  3. Step 3: Cross multiply
    48,438.63x = 70,744.32 × 70,744.32
  4. Step 4: Simplify right side
    48,438.63x = 5,004,759,409.17
  5. Step 5: Solve for x
    x = 5,004,759,409.17/48,438.63
  6. Step 6: Final answer
    x = 103,321.65

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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.