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Finding the Third Proportional to 22,852.69 and 36,492.75

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Solution

The third proportional to 22,852.69 and 36,492.75 is: 58,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.69 : 36,492.75 = 36,492.75 : x
  2. Step 2: Convert to fraction form
    22,852.69/36,492.75 = 36,492.75/x
  3. Step 3: Cross multiply
    22,852.69x = 36,492.75 × 36,492.75
  4. Step 4: Simplify right side
    22,852.69x = 1,331,720,802.56
  5. Step 5: Solve for x
    x = 1,331,720,802.56/22,852.69
  6. Step 6: Final answer
    x = 58,274.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.