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Finding the Third Proportional to 39,464 and 59,605.50

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Solution

The third proportional to 39,464 and 59,605.50 is: 90,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,464 : 59,605.50 = 59,605.50 : x
  2. Step 2: Convert to fraction form
    39,464/59,605.50 = 59,605.50/x
  3. Step 3: Cross multiply
    39,464x = 59,605.50 × 59,605.50
  4. Step 4: Simplify right side
    39,464x = 3,552,815,630.25
  5. Step 5: Solve for x
    x = 3,552,815,630.25/39,464
  6. Step 6: Final answer
    x = 90,026.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.