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Finding the Third Proportional to 14,159.81 and 30,774.94

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Solution

The third proportional to 14,159.81 and 30,774.94 is: 66,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.81 : 30,774.94 = 30,774.94 : x
  2. Step 2: Convert to fraction form
    14,159.81/30,774.94 = 30,774.94/x
  3. Step 3: Cross multiply
    14,159.81x = 30,774.94 × 30,774.94
  4. Step 4: Simplify right side
    14,159.81x = 947,096,778.13
  5. Step 5: Solve for x
    x = 947,096,778.13/14,159.81
  6. Step 6: Final answer
    x = 66,886.25

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Why These Related Problems?

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