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Finding the Third Proportional to 21,232 and 46,156

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Solution

The third proportional to 21,232 and 46,156 is: 100,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232 : 46,156 = 46,156 : x
  2. Step 2: Convert to fraction form
    21,232/46,156 = 46,156/x
  3. Step 3: Cross multiply
    21,232x = 46,156 × 46,156
  4. Step 4: Simplify right side
    21,232x = 2,130,376,336
  5. Step 5: Solve for x
    x = 2,130,376,336/21,232
  6. Step 6: Final answer
    x = 100,338.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.