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Finding the Third Proportional to 51,032.63 and 110,828.13

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Solution

The third proportional to 51,032.63 and 110,828.13 is: 240,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032.63 : 110,828.13 = 110,828.13 : x
  2. Step 2: Convert to fraction form
    51,032.63/110,828.13 = 110,828.13/x
  3. Step 3: Cross multiply
    51,032.63x = 110,828.13 × 110,828.13
  4. Step 4: Simplify right side
    51,032.63x = 12,282,873,291.02
  5. Step 5: Solve for x
    x = 12,282,873,291.02/51,032.63
  6. Step 6: Final answer
    x = 240,686.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.