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Finding the Third Proportional to 30,466.13 and 45,911.81

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Solution

The third proportional to 30,466.13 and 45,911.81 is: 69,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.13 : 45,911.81 = 45,911.81 : x
  2. Step 2: Convert to fraction form
    30,466.13/45,911.81 = 45,911.81/x
  3. Step 3: Cross multiply
    30,466.13x = 45,911.81 × 45,911.81
  4. Step 4: Simplify right side
    30,466.13x = 2,107,894,527.04
  5. Step 5: Solve for x
    x = 2,107,894,527.04/30,466.13
  6. Step 6: Final answer
    x = 69,188.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.