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Finding the Third Proportional to 39,585 and 83,010

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Solution

The third proportional to 39,585 and 83,010 is: 174,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,585 : 83,010 = 83,010 : x
  2. Step 2: Convert to fraction form
    39,585/83,010 = 83,010/x
  3. Step 3: Cross multiply
    39,585x = 83,010 × 83,010
  4. Step 4: Simplify right side
    39,585x = 6,890,660,100
  5. Step 5: Solve for x
    x = 6,890,660,100/39,585
  6. Step 6: Final answer
    x = 174,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.