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Finding the Third Proportional to 10,078.17 and 21,492.84

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Solution

The third proportional to 10,078.17 and 21,492.84 is: 45,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.17 : 21,492.84 = 21,492.84 : x
  2. Step 2: Convert to fraction form
    10,078.17/21,492.84 = 21,492.84/x
  3. Step 3: Cross multiply
    10,078.17x = 21,492.84 × 21,492.84
  4. Step 4: Simplify right side
    10,078.17x = 461,942,332.46
  5. Step 5: Solve for x
    x = 461,942,332.46/10,078.17
  6. Step 6: Final answer
    x = 45,835.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.