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Finding the Third Proportional to 3,354.96 and 4,916.95

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Solution

The third proportional to 3,354.96 and 4,916.95 is: 7,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.96 : 4,916.95 = 4,916.95 : x
  2. Step 2: Convert to fraction form
    3,354.96/4,916.95 = 4,916.95/x
  3. Step 3: Cross multiply
    3,354.96x = 4,916.95 × 4,916.95
  4. Step 4: Simplify right side
    3,354.96x = 24,176,428.03
  5. Step 5: Solve for x
    x = 24,176,428.03/3,354.96
  6. Step 6: Final answer
    x = 7,206.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.