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Finding the Third Proportional to 39,993.75 and 85,875.19

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Solution

The third proportional to 39,993.75 and 85,875.19 is: 184,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,993.75 : 85,875.19 = 85,875.19 : x
  2. Step 2: Convert to fraction form
    39,993.75/85,875.19 = 85,875.19/x
  3. Step 3: Cross multiply
    39,993.75x = 85,875.19 × 85,875.19
  4. Step 4: Simplify right side
    39,993.75x = 7,374,547,828.16
  5. Step 5: Solve for x
    x = 7,374,547,828.16/39,993.75
  6. Step 6: Final answer
    x = 184,392.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.