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Finding the Third Proportional to 21,172.50 and 45,159.75

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Solution

The third proportional to 21,172.50 and 45,159.75 is: 96,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.50 : 45,159.75 = 45,159.75 : x
  2. Step 2: Convert to fraction form
    21,172.50/45,159.75 = 45,159.75/x
  3. Step 3: Cross multiply
    21,172.50x = 45,159.75 × 45,159.75
  4. Step 4: Simplify right side
    21,172.50x = 2,039,403,020.06
  5. Step 5: Solve for x
    x = 2,039,403,020.06/21,172.50
  6. Step 6: Final answer
    x = 96,323.20

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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.