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Finding the Third Proportional to 30,701.50 and 47,409

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Solution

The third proportional to 30,701.50 and 47,409 is: 73,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.50 : 47,409 = 47,409 : x
  2. Step 2: Convert to fraction form
    30,701.50/47,409 = 47,409/x
  3. Step 3: Cross multiply
    30,701.50x = 47,409 × 47,409
  4. Step 4: Simplify right side
    30,701.50x = 2,247,613,281
  5. Step 5: Solve for x
    x = 2,247,613,281/30,701.50
  6. Step 6: Final answer
    x = 73,208.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.