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Finding the Third Proportional to 4,637 and 10,138

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Solution

The third proportional to 4,637 and 10,138 is: 22,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637 : 10,138 = 10,138 : x
  2. Step 2: Convert to fraction form
    4,637/10,138 = 10,138/x
  3. Step 3: Cross multiply
    4,637x = 10,138 × 10,138
  4. Step 4: Simplify right side
    4,637x = 102,779,044
  5. Step 5: Solve for x
    x = 102,779,044/4,637
  6. Step 6: Final answer
    x = 22,164.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.