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Finding the Third Proportional to 49,344.19 and 72,017.23

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Solution

The third proportional to 49,344.19 and 72,017.23 is: 105,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.19 : 72,017.23 = 72,017.23 : x
  2. Step 2: Convert to fraction form
    49,344.19/72,017.23 = 72,017.23/x
  3. Step 3: Cross multiply
    49,344.19x = 72,017.23 × 72,017.23
  4. Step 4: Simplify right side
    49,344.19x = 5,186,480,921.75
  5. Step 5: Solve for x
    x = 5,186,480,921.75/49,344.19
  6. Step 6: Final answer
    x = 105,108.24

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