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Finding the Third Proportional to 39,575 and 85,333

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Solution

The third proportional to 39,575 and 85,333 is: 183,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575 : 85,333 = 85,333 : x
  2. Step 2: Convert to fraction form
    39,575/85,333 = 85,333/x
  3. Step 3: Cross multiply
    39,575x = 85,333 × 85,333
  4. Step 4: Simplify right side
    39,575x = 7,281,720,889
  5. Step 5: Solve for x
    x = 7,281,720,889/39,575
  6. Step 6: Final answer
    x = 183,998.00

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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.