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Finding the Third Proportional to 30,030.75 and 45,694.13

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Solution

The third proportional to 30,030.75 and 45,694.13 is: 69,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030.75 : 45,694.13 = 45,694.13 : x
  2. Step 2: Convert to fraction form
    30,030.75/45,694.13 = 45,694.13/x
  3. Step 3: Cross multiply
    30,030.75x = 45,694.13 × 45,694.13
  4. Step 4: Simplify right side
    30,030.75x = 2,087,953,059.52
  5. Step 5: Solve for x
    x = 2,087,953,059.52/30,030.75
  6. Step 6: Final answer
    x = 69,527.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.