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Finding the Third Proportional to 10,536.45 and 22,572.07

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Solution

The third proportional to 10,536.45 and 22,572.07 is: 48,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.45 : 22,572.07 = 22,572.07 : x
  2. Step 2: Convert to fraction form
    10,536.45/22,572.07 = 22,572.07/x
  3. Step 3: Cross multiply
    10,536.45x = 22,572.07 × 22,572.07
  4. Step 4: Simplify right side
    10,536.45x = 509,498,159.81
  5. Step 5: Solve for x
    x = 509,498,159.81/10,536.45
  6. Step 6: Final answer
    x = 48,355.79

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Why These Related Problems?

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