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Finding the Third Proportional to 15,706 and 25,047

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Solution

The third proportional to 15,706 and 25,047 is: 39,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706 : 25,047 = 25,047 : x
  2. Step 2: Convert to fraction form
    15,706/25,047 = 25,047/x
  3. Step 3: Cross multiply
    15,706x = 25,047 × 25,047
  4. Step 4: Simplify right side
    15,706x = 627,352,209
  5. Step 5: Solve for x
    x = 627,352,209/15,706
  6. Step 6: Final answer
    x = 39,943.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.