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Finding the Third Proportional to 30,746.46 and 67,188.23

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Solution

The third proportional to 30,746.46 and 67,188.23 is: 146,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.46 : 67,188.23 = 67,188.23 : x
  2. Step 2: Convert to fraction form
    30,746.46/67,188.23 = 67,188.23/x
  3. Step 3: Cross multiply
    30,746.46x = 67,188.23 × 67,188.23
  4. Step 4: Simplify right side
    30,746.46x = 4,514,258,838.43
  5. Step 5: Solve for x
    x = 4,514,258,838.43/30,746.46
  6. Step 6: Final answer
    x = 146,822.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.