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Finding the Third Proportional to 25,650 and 38,820

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Solution

The third proportional to 25,650 and 38,820 is: 58,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 38,820 = 38,820 : x
  2. Step 2: Convert to fraction form
    25,650/38,820 = 38,820/x
  3. Step 3: Cross multiply
    25,650x = 38,820 × 38,820
  4. Step 4: Simplify right side
    25,650x = 1,506,992,400
  5. Step 5: Solve for x
    x = 1,506,992,400/25,650
  6. Step 6: Final answer
    x = 58,752.14

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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.