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Finding the Third Proportional to 14,931 and 35,971.50

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Solution

The third proportional to 14,931 and 35,971.50 is: 86,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931 : 35,971.50 = 35,971.50 : x
  2. Step 2: Convert to fraction form
    14,931/35,971.50 = 35,971.50/x
  3. Step 3: Cross multiply
    14,931x = 35,971.50 × 35,971.50
  4. Step 4: Simplify right side
    14,931x = 1,293,948,812.25
  5. Step 5: Solve for x
    x = 1,293,948,812.25/14,931
  6. Step 6: Final answer
    x = 86,661.90

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.