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Finding the Third Proportional to 25,492 and 38,972

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Solution

The third proportional to 25,492 and 38,972 is: 59,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492 : 38,972 = 38,972 : x
  2. Step 2: Convert to fraction form
    25,492/38,972 = 38,972/x
  3. Step 3: Cross multiply
    25,492x = 38,972 × 38,972
  4. Step 4: Simplify right side
    25,492x = 1,518,816,784
  5. Step 5: Solve for x
    x = 1,518,816,784/25,492
  6. Step 6: Final answer
    x = 59,580.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.