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Finding the Third Proportional to 22,276 and 51,798

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Solution

The third proportional to 22,276 and 51,798 is: 120,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276 : 51,798 = 51,798 : x
  2. Step 2: Convert to fraction form
    22,276/51,798 = 51,798/x
  3. Step 3: Cross multiply
    22,276x = 51,798 × 51,798
  4. Step 4: Simplify right side
    22,276x = 2,683,032,804
  5. Step 5: Solve for x
    x = 2,683,032,804/22,276
  6. Step 6: Final answer
    x = 120,445.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.