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Finding the Third Proportional to 4,562.63 and 9,854.25

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Solution

The third proportional to 4,562.63 and 9,854.25 is: 21,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.63 : 9,854.25 = 9,854.25 : x
  2. Step 2: Convert to fraction form
    4,562.63/9,854.25 = 9,854.25/x
  3. Step 3: Cross multiply
    4,562.63x = 9,854.25 × 9,854.25
  4. Step 4: Simplify right side
    4,562.63x = 97,106,243.06
  5. Step 5: Solve for x
    x = 97,106,243.06/4,562.63
  6. Step 6: Final answer
    x = 21,282.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.