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Finding the Third Proportional to 39,585.38 and 85,384.13

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Solution

The third proportional to 39,585.38 and 85,384.13 is: 184,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,585.38 : 85,384.13 = 85,384.13 : x
  2. Step 2: Convert to fraction form
    39,585.38/85,384.13 = 85,384.13/x
  3. Step 3: Cross multiply
    39,585.38x = 85,384.13 × 85,384.13
  4. Step 4: Simplify right side
    39,585.38x = 7,290,448,802.02
  5. Step 5: Solve for x
    x = 7,290,448,802.02/39,585.38
  6. Step 6: Final answer
    x = 184,170.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.