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Finding the Third Proportional to 14,710.99 and 31,774.15

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Solution

The third proportional to 14,710.99 and 31,774.15 is: 68,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.99 : 31,774.15 = 31,774.15 : x
  2. Step 2: Convert to fraction form
    14,710.99/31,774.15 = 31,774.15/x
  3. Step 3: Cross multiply
    14,710.99x = 31,774.15 × 31,774.15
  4. Step 4: Simplify right side
    14,710.99x = 1,009,596,508.93
  5. Step 5: Solve for x
    x = 1,009,596,508.93/14,710.99
  6. Step 6: Final answer
    x = 68,628.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.