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Finding the Third Proportional to 39,417 and 84,934.50

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Solution

The third proportional to 39,417 and 84,934.50 is: 183,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,417 : 84,934.50 = 84,934.50 : x
  2. Step 2: Convert to fraction form
    39,417/84,934.50 = 84,934.50/x
  3. Step 3: Cross multiply
    39,417x = 84,934.50 × 84,934.50
  4. Step 4: Simplify right side
    39,417x = 7,213,869,290.25
  5. Step 5: Solve for x
    x = 7,213,869,290.25/39,417
  6. Step 6: Final answer
    x = 183,014.16

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