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Finding the Third Proportional to 30,528 and 63,395

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Solution

The third proportional to 30,528 and 63,395 is: 131,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,528 : 63,395 = 63,395 : x
  2. Step 2: Convert to fraction form
    30,528/63,395 = 63,395/x
  3. Step 3: Cross multiply
    30,528x = 63,395 × 63,395
  4. Step 4: Simplify right side
    30,528x = 4,018,926,025
  5. Step 5: Solve for x
    x = 4,018,926,025/30,528
  6. Step 6: Final answer
    x = 131,647.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.