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Finding the Third Proportional to 22,276 and 35,516

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Solution

The third proportional to 22,276 and 35,516 is: 56,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276 : 35,516 = 35,516 : x
  2. Step 2: Convert to fraction form
    22,276/35,516 = 35,516/x
  3. Step 3: Cross multiply
    22,276x = 35,516 × 35,516
  4. Step 4: Simplify right side
    22,276x = 1,261,386,256
  5. Step 5: Solve for x
    x = 1,261,386,256/22,276
  6. Step 6: Final answer
    x = 56,625.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.