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Finding the Third Proportional to 19,971 and 43,465.50

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Solution

The third proportional to 19,971 and 43,465.50 is: 94,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 43,465.50 = 43,465.50 : x
  2. Step 2: Convert to fraction form
    19,971/43,465.50 = 43,465.50/x
  3. Step 3: Cross multiply
    19,971x = 43,465.50 × 43,465.50
  4. Step 4: Simplify right side
    19,971x = 1,889,249,690.25
  5. Step 5: Solve for x
    x = 1,889,249,690.25/19,971
  6. Step 6: Final answer
    x = 94,599.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.