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Finding the Third Proportional to 17,430.19 and 36,865.13

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Solution

The third proportional to 17,430.19 and 36,865.13 is: 77,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.19 : 36,865.13 = 36,865.13 : x
  2. Step 2: Convert to fraction form
    17,430.19/36,865.13 = 36,865.13/x
  3. Step 3: Cross multiply
    17,430.19x = 36,865.13 × 36,865.13
  4. Step 4: Simplify right side
    17,430.19x = 1,359,037,441.27
  5. Step 5: Solve for x
    x = 1,359,037,441.27/17,430.19
  6. Step 6: Final answer
    x = 77,970.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.