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Finding the Third Proportional to 5,046 and 7,145

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Solution

The third proportional to 5,046 and 7,145 is: 10,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046 : 7,145 = 7,145 : x
  2. Step 2: Convert to fraction form
    5,046/7,145 = 7,145/x
  3. Step 3: Cross multiply
    5,046x = 7,145 × 7,145
  4. Step 4: Simplify right side
    5,046x = 51,051,025
  5. Step 5: Solve for x
    x = 51,051,025/5,046
  6. Step 6: Final answer
    x = 10,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.