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Finding the Third Proportional to 4,561.95 and 9,710.51

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Solution

The third proportional to 4,561.95 and 9,710.51 is: 20,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.95 : 9,710.51 = 9,710.51 : x
  2. Step 2: Convert to fraction form
    4,561.95/9,710.51 = 9,710.51/x
  3. Step 3: Cross multiply
    4,561.95x = 9,710.51 × 9,710.51
  4. Step 4: Simplify right side
    4,561.95x = 94,293,961.98
  5. Step 5: Solve for x
    x = 94,293,961.98/4,561.95
  6. Step 6: Final answer
    x = 20,669.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.