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Finding the Third Proportional to 2,484.84 and 5,746.36

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Solution

The third proportional to 2,484.84 and 5,746.36 is: 13,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 5,746.36 = 5,746.36 : x
  2. Step 2: Convert to fraction form
    2,484.84/5,746.36 = 5,746.36/x
  3. Step 3: Cross multiply
    2,484.84x = 5,746.36 × 5,746.36
  4. Step 4: Simplify right side
    2,484.84x = 33,020,646.07
  5. Step 5: Solve for x
    x = 33,020,646.07/2,484.84
  6. Step 6: Final answer
    x = 13,288.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.