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Finding the Third Proportional to 48,438 and 72,707.63

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Solution

The third proportional to 48,438 and 72,707.63 is: 109,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438 : 72,707.63 = 72,707.63 : x
  2. Step 2: Convert to fraction form
    48,438/72,707.63 = 72,707.63/x
  3. Step 3: Cross multiply
    48,438x = 72,707.63 × 72,707.63
  4. Step 4: Simplify right side
    48,438x = 5,286,398,733.14
  5. Step 5: Solve for x
    x = 5,286,398,733.14/48,438
  6. Step 6: Final answer
    x = 109,137.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.