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Finding the Third Proportional to 14,957 and 32,391

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Solution

The third proportional to 14,957 and 32,391 is: 70,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957 : 32,391 = 32,391 : x
  2. Step 2: Convert to fraction form
    14,957/32,391 = 32,391/x
  3. Step 3: Cross multiply
    14,957x = 32,391 × 32,391
  4. Step 4: Simplify right side
    14,957x = 1,049,176,881
  5. Step 5: Solve for x
    x = 1,049,176,881/14,957
  6. Step 6: Final answer
    x = 70,146.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.