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Finding the Third Proportional to 25,646 and 38,812.25

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Solution

The third proportional to 25,646 and 38,812.25 is: 58,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646 : 38,812.25 = 38,812.25 : x
  2. Step 2: Convert to fraction form
    25,646/38,812.25 = 38,812.25/x
  3. Step 3: Cross multiply
    25,646x = 38,812.25 × 38,812.25
  4. Step 4: Simplify right side
    25,646x = 1,506,390,750.06
  5. Step 5: Solve for x
    x = 1,506,390,750.06/25,646
  6. Step 6: Final answer
    x = 58,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.