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Finding the Third Proportional to 15,931 and 34,656.50

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Solution

The third proportional to 15,931 and 34,656.50 is: 75,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931 : 34,656.50 = 34,656.50 : x
  2. Step 2: Convert to fraction form
    15,931/34,656.50 = 34,656.50/x
  3. Step 3: Cross multiply
    15,931x = 34,656.50 × 34,656.50
  4. Step 4: Simplify right side
    15,931x = 1,201,072,992.25
  5. Step 5: Solve for x
    x = 1,201,072,992.25/15,931
  6. Step 6: Final answer
    x = 75,392.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.