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Finding the Third Proportional to 22,097.81 and 34,263

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Solution

The third proportional to 22,097.81 and 34,263 is: 53,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.81 : 34,263 = 34,263 : x
  2. Step 2: Convert to fraction form
    22,097.81/34,263 = 34,263/x
  3. Step 3: Cross multiply
    22,097.81x = 34,263 × 34,263
  4. Step 4: Simplify right side
    22,097.81x = 1,173,953,169
  5. Step 5: Solve for x
    x = 1,173,953,169/22,097.81
  6. Step 6: Final answer
    x = 53,125.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.