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Finding the Third Proportional to 21,397.29 and 45,659.32

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Solution

The third proportional to 21,397.29 and 45,659.32 is: 97,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.29 : 45,659.32 = 45,659.32 : x
  2. Step 2: Convert to fraction form
    21,397.29/45,659.32 = 45,659.32/x
  3. Step 3: Cross multiply
    21,397.29x = 45,659.32 × 45,659.32
  4. Step 4: Simplify right side
    21,397.29x = 2,084,773,531.40
  5. Step 5: Solve for x
    x = 2,084,773,531.40/21,397.29
  6. Step 6: Final answer
    x = 97,431.67

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