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Finding the Third Proportional to 14,347.50 and 31,077.50

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Solution

The third proportional to 14,347.50 and 31,077.50 is: 67,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.50 : 31,077.50 = 31,077.50 : x
  2. Step 2: Convert to fraction form
    14,347.50/31,077.50 = 31,077.50/x
  3. Step 3: Cross multiply
    14,347.50x = 31,077.50 × 31,077.50
  4. Step 4: Simplify right side
    14,347.50x = 965,811,006.25
  5. Step 5: Solve for x
    x = 965,811,006.25/14,347.50
  6. Step 6: Final answer
    x = 67,315.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.