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Finding the Third Proportional to 21,051.50 and 46,495

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Solution

The third proportional to 21,051.50 and 46,495 is: 102,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.50 : 46,495 = 46,495 : x
  2. Step 2: Convert to fraction form
    21,051.50/46,495 = 46,495/x
  3. Step 3: Cross multiply
    21,051.50x = 46,495 × 46,495
  4. Step 4: Simplify right side
    21,051.50x = 2,161,785,025
  5. Step 5: Solve for x
    x = 2,161,785,025/21,051.50
  6. Step 6: Final answer
    x = 102,690.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.