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Finding the Third Proportional to 29,971.13 and 45,033.75

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Solution

The third proportional to 29,971.13 and 45,033.75 is: 67,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.13 : 45,033.75 = 45,033.75 : x
  2. Step 2: Convert to fraction form
    29,971.13/45,033.75 = 45,033.75/x
  3. Step 3: Cross multiply
    29,971.13x = 45,033.75 × 45,033.75
  4. Step 4: Simplify right side
    29,971.13x = 2,028,038,639.06
  5. Step 5: Solve for x
    x = 2,028,038,639.06/29,971.13
  6. Step 6: Final answer
    x = 67,666.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.