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Finding the Third Proportional to 14,557 and 31,191

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Solution

The third proportional to 14,557 and 31,191 is: 66,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557 : 31,191 = 31,191 : x
  2. Step 2: Convert to fraction form
    14,557/31,191 = 31,191/x
  3. Step 3: Cross multiply
    14,557x = 31,191 × 31,191
  4. Step 4: Simplify right side
    14,557x = 972,878,481
  5. Step 5: Solve for x
    x = 972,878,481/14,557
  6. Step 6: Final answer
    x = 66,832.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.