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Finding the Third Proportional to 17,430.19 and 34,435.13

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Solution

The third proportional to 17,430.19 and 34,435.13 is: 68,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.19 : 34,435.13 = 34,435.13 : x
  2. Step 2: Convert to fraction form
    17,430.19/34,435.13 = 34,435.13/x
  3. Step 3: Cross multiply
    17,430.19x = 34,435.13 × 34,435.13
  4. Step 4: Simplify right side
    17,430.19x = 1,185,777,833.77
  5. Step 5: Solve for x
    x = 1,185,777,833.77/17,430.19
  6. Step 6: Final answer
    x = 68,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.