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Finding the Third Proportional to 30,097.13 and 46,667.25

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Solution

The third proportional to 30,097.13 and 46,667.25 is: 72,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.13 : 46,667.25 = 46,667.25 : x
  2. Step 2: Convert to fraction form
    30,097.13/46,667.25 = 46,667.25/x
  3. Step 3: Cross multiply
    30,097.13x = 46,667.25 × 46,667.25
  4. Step 4: Simplify right side
    30,097.13x = 2,177,832,222.56
  5. Step 5: Solve for x
    x = 2,177,832,222.56/30,097.13
  6. Step 6: Final answer
    x = 72,360.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.