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Finding the Third Proportional to 10,526.63 and 22,742.44

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Solution

The third proportional to 10,526.63 and 22,742.44 is: 49,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.63 : 22,742.44 = 22,742.44 : x
  2. Step 2: Convert to fraction form
    10,526.63/22,742.44 = 22,742.44/x
  3. Step 3: Cross multiply
    10,526.63x = 22,742.44 × 22,742.44
  4. Step 4: Simplify right side
    10,526.63x = 517,218,463.44
  5. Step 5: Solve for x
    x = 517,218,463.44/10,526.63
  6. Step 6: Final answer
    x = 49,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.