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Finding the Third Proportional to 31,071.94 and 66,497.63

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Solution

The third proportional to 31,071.94 and 66,497.63 is: 142,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.94 : 66,497.63 = 66,497.63 : x
  2. Step 2: Convert to fraction form
    31,071.94/66,497.63 = 66,497.63/x
  3. Step 3: Cross multiply
    31,071.94x = 66,497.63 × 66,497.63
  4. Step 4: Simplify right side
    31,071.94x = 4,421,934,130.64
  5. Step 5: Solve for x
    x = 4,421,934,130.64/31,071.94
  6. Step 6: Final answer
    x = 142,312.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.