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Finding the Third Proportional to 10,516 and 22,435.75

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Solution

The third proportional to 10,516 and 22,435.75 is: 47,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516 : 22,435.75 = 22,435.75 : x
  2. Step 2: Convert to fraction form
    10,516/22,435.75 = 22,435.75/x
  3. Step 3: Cross multiply
    10,516x = 22,435.75 × 22,435.75
  4. Step 4: Simplify right side
    10,516x = 503,362,878.06
  5. Step 5: Solve for x
    x = 503,362,878.06/10,516
  6. Step 6: Final answer
    x = 47,866.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.