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Finding the Third Proportional to 19,652.63 and 30,116.81

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Solution

The third proportional to 19,652.63 and 30,116.81 is: 46,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.63 : 30,116.81 = 30,116.81 : x
  2. Step 2: Convert to fraction form
    19,652.63/30,116.81 = 30,116.81/x
  3. Step 3: Cross multiply
    19,652.63x = 30,116.81 × 30,116.81
  4. Step 4: Simplify right side
    19,652.63x = 907,022,395.16
  5. Step 5: Solve for x
    x = 907,022,395.16/19,652.63
  6. Step 6: Final answer
    x = 46,152.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.