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Finding the Third Proportional to 30,605.19 and 47,291.74

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Solution

The third proportional to 30,605.19 and 47,291.74 is: 73,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.19 : 47,291.74 = 47,291.74 : x
  2. Step 2: Convert to fraction form
    30,605.19/47,291.74 = 47,291.74/x
  3. Step 3: Cross multiply
    30,605.19x = 47,291.74 × 47,291.74
  4. Step 4: Simplify right side
    30,605.19x = 2,236,508,602.03
  5. Step 5: Solve for x
    x = 2,236,508,602.03/30,605.19
  6. Step 6: Final answer
    x = 73,076.13

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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.