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Finding the Third Proportional to 5,026 and 5,746

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Solution

The third proportional to 5,026 and 5,746 is: 6,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026 : 5,746 = 5,746 : x
  2. Step 2: Convert to fraction form
    5,026/5,746 = 5,746/x
  3. Step 3: Cross multiply
    5,026x = 5,746 × 5,746
  4. Step 4: Simplify right side
    5,026x = 33,016,516
  5. Step 5: Solve for x
    x = 33,016,516/5,026
  6. Step 6: Final answer
    x = 6,569.14

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.