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Finding the Third Proportional to 11,700 and 21,710.25

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Solution

The third proportional to 11,700 and 21,710.25 is: 40,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 21,710.25 = 21,710.25 : x
  2. Step 2: Convert to fraction form
    11,700/21,710.25 = 21,710.25/x
  3. Step 3: Cross multiply
    11,700x = 21,710.25 × 21,710.25
  4. Step 4: Simplify right side
    11,700x = 471,334,955.06
  5. Step 5: Solve for x
    x = 471,334,955.06/11,700
  6. Step 6: Final answer
    x = 40,285.04

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.