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Finding the Third Proportional to 30,827.06 and 46,244.81

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Solution

The third proportional to 30,827.06 and 46,244.81 is: 69,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.06 : 46,244.81 = 46,244.81 : x
  2. Step 2: Convert to fraction form
    30,827.06/46,244.81 = 46,244.81/x
  3. Step 3: Cross multiply
    30,827.06x = 46,244.81 × 46,244.81
  4. Step 4: Simplify right side
    30,827.06x = 2,138,582,683.16
  5. Step 5: Solve for x
    x = 2,138,582,683.16/30,827.06
  6. Step 6: Final answer
    x = 69,373.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.