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Finding the Third Proportional to 30,597.38 and 47,280

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Solution

The third proportional to 30,597.38 and 47,280 is: 73,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.38 : 47,280 = 47,280 : x
  2. Step 2: Convert to fraction form
    30,597.38/47,280 = 47,280/x
  3. Step 3: Cross multiply
    30,597.38x = 47,280 × 47,280
  4. Step 4: Simplify right side
    30,597.38x = 2,235,398,400
  5. Step 5: Solve for x
    x = 2,235,398,400/30,597.38
  6. Step 6: Final answer
    x = 73,058.50

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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.