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Finding the Third Proportional to 30,466.13 and 47,085.05

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Solution

The third proportional to 30,466.13 and 47,085.05 is: 72,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.13 : 47,085.05 = 47,085.05 : x
  2. Step 2: Convert to fraction form
    30,466.13/47,085.05 = 47,085.05/x
  3. Step 3: Cross multiply
    30,466.13x = 47,085.05 × 47,085.05
  4. Step 4: Simplify right side
    30,466.13x = 2,217,001,639.22
  5. Step 5: Solve for x
    x = 2,217,001,639.22/30,466.13
  6. Step 6: Final answer
    x = 72,769.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.