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Finding the Third Proportional to 45,158 and 51,746

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Solution

The third proportional to 45,158 and 51,746 is: 59,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158 : 51,746 = 51,746 : x
  2. Step 2: Convert to fraction form
    45,158/51,746 = 51,746/x
  3. Step 3: Cross multiply
    45,158x = 51,746 × 51,746
  4. Step 4: Simplify right side
    45,158x = 2,677,648,516
  5. Step 5: Solve for x
    x = 2,677,648,516/45,158
  6. Step 6: Final answer
    x = 59,295.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.