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Finding the Third Proportional to 2,265.19 and 4,802.63

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Solution

The third proportional to 2,265.19 and 4,802.63 is: 10,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.19 : 4,802.63 = 4,802.63 : x
  2. Step 2: Convert to fraction form
    2,265.19/4,802.63 = 4,802.63/x
  3. Step 3: Cross multiply
    2,265.19x = 4,802.63 × 4,802.63
  4. Step 4: Simplify right side
    2,265.19x = 23,065,206.89
  5. Step 5: Solve for x
    x = 23,065,206.89/2,265.19
  6. Step 6: Final answer
    x = 10,182.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.