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Finding the Third Proportional to 22,363 and 30,263

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Solution

The third proportional to 22,363 and 30,263 is: 40,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363 : 30,263 = 30,263 : x
  2. Step 2: Convert to fraction form
    22,363/30,263 = 30,263/x
  3. Step 3: Cross multiply
    22,363x = 30,263 × 30,263
  4. Step 4: Simplify right side
    22,363x = 915,849,169
  5. Step 5: Solve for x
    x = 915,849,169/22,363
  6. Step 6: Final answer
    x = 40,953.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.