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Finding the Third Proportional to 4,658.77 and 9,894.18

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Solution

The third proportional to 4,658.77 and 9,894.18 is: 21,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.77 : 9,894.18 = 9,894.18 : x
  2. Step 2: Convert to fraction form
    4,658.77/9,894.18 = 9,894.18/x
  3. Step 3: Cross multiply
    4,658.77x = 9,894.18 × 9,894.18
  4. Step 4: Simplify right side
    4,658.77x = 97,894,830.34
  5. Step 5: Solve for x
    x = 97,894,830.34/4,658.77
  6. Step 6: Final answer
    x = 21,013.04

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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.