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Finding the Third Proportional to 31,525 and 64,490

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Solution

The third proportional to 31,525 and 64,490 is: 131,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525 : 64,490 = 64,490 : x
  2. Step 2: Convert to fraction form
    31,525/64,490 = 64,490/x
  3. Step 3: Cross multiply
    31,525x = 64,490 × 64,490
  4. Step 4: Simplify right side
    31,525x = 4,158,960,100
  5. Step 5: Solve for x
    x = 4,158,960,100/31,525
  6. Step 6: Final answer
    x = 131,925.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.