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Finding the Third Proportional to 25,564 and 39,486

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Solution

The third proportional to 25,564 and 39,486 is: 60,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564 : 39,486 = 39,486 : x
  2. Step 2: Convert to fraction form
    25,564/39,486 = 39,486/x
  3. Step 3: Cross multiply
    25,564x = 39,486 × 39,486
  4. Step 4: Simplify right side
    25,564x = 1,559,144,196
  5. Step 5: Solve for x
    x = 1,559,144,196/25,564
  6. Step 6: Final answer
    x = 60,989.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.