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Finding the Third Proportional to 14,889 and 25,358

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Solution

The third proportional to 14,889 and 25,358 is: 43,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889 : 25,358 = 25,358 : x
  2. Step 2: Convert to fraction form
    14,889/25,358 = 25,358/x
  3. Step 3: Cross multiply
    14,889x = 25,358 × 25,358
  4. Step 4: Simplify right side
    14,889x = 643,028,164
  5. Step 5: Solve for x
    x = 643,028,164/14,889
  6. Step 6: Final answer
    x = 43,188.14

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.