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Finding the Third Proportional to 21,084.19 and 45,295.31

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Solution

The third proportional to 21,084.19 and 45,295.31 is: 97,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.19 : 45,295.31 = 45,295.31 : x
  2. Step 2: Convert to fraction form
    21,084.19/45,295.31 = 45,295.31/x
  3. Step 3: Cross multiply
    21,084.19x = 45,295.31 × 45,295.31
  4. Step 4: Simplify right side
    21,084.19x = 2,051,665,334.47
  5. Step 5: Solve for x
    x = 2,051,665,334.47/21,084.19
  6. Step 6: Final answer
    x = 97,308.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.