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Finding the Third Proportional to 21,461.63 and 46,496.25

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Solution

The third proportional to 21,461.63 and 46,496.25 is: 100,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.63 : 46,496.25 = 46,496.25 : x
  2. Step 2: Convert to fraction form
    21,461.63/46,496.25 = 46,496.25/x
  3. Step 3: Cross multiply
    21,461.63x = 46,496.25 × 46,496.25
  4. Step 4: Simplify right side
    21,461.63x = 2,161,901,264.06
  5. Step 5: Solve for x
    x = 2,161,901,264.06/21,461.63
  6. Step 6: Final answer
    x = 100,733.34

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