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Finding the Third Proportional to 14,442 and 31,641

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Solution

The third proportional to 14,442 and 31,641 is: 69,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442 : 31,641 = 31,641 : x
  2. Step 2: Convert to fraction form
    14,442/31,641 = 31,641/x
  3. Step 3: Cross multiply
    14,442x = 31,641 × 31,641
  4. Step 4: Simplify right side
    14,442x = 1,001,152,881
  5. Step 5: Solve for x
    x = 1,001,152,881/14,442
  6. Step 6: Final answer
    x = 69,322.32

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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.