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Finding the Third Proportional to 20,332.69 and 45,019.13

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Solution

The third proportional to 20,332.69 and 45,019.13 is: 99,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332.69 : 45,019.13 = 45,019.13 : x
  2. Step 2: Convert to fraction form
    20,332.69/45,019.13 = 45,019.13/x
  3. Step 3: Cross multiply
    20,332.69x = 45,019.13 × 45,019.13
  4. Step 4: Simplify right side
    20,332.69x = 2,026,721,615.77
  5. Step 5: Solve for x
    x = 2,026,721,615.77/20,332.69
  6. Step 6: Final answer
    x = 99,678.00

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