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Finding the Third Proportional to 10,554.75 and 22,586.63

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Solution

The third proportional to 10,554.75 and 22,586.63 is: 48,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.75 : 22,586.63 = 22,586.63 : x
  2. Step 2: Convert to fraction form
    10,554.75/22,586.63 = 22,586.63/x
  3. Step 3: Cross multiply
    10,554.75x = 22,586.63 × 22,586.63
  4. Step 4: Simplify right side
    10,554.75x = 510,155,628.89
  5. Step 5: Solve for x
    x = 510,155,628.89/10,554.75
  6. Step 6: Final answer
    x = 48,334.22

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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.