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Finding the Third Proportional to 29,740 and 64,382

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Solution

The third proportional to 29,740 and 64,382 is: 139,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740 : 64,382 = 64,382 : x
  2. Step 2: Convert to fraction form
    29,740/64,382 = 64,382/x
  3. Step 3: Cross multiply
    29,740x = 64,382 × 64,382
  4. Step 4: Simplify right side
    29,740x = 4,145,041,924
  5. Step 5: Solve for x
    x = 4,145,041,924/29,740
  6. Step 6: Final answer
    x = 139,375.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.