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Finding the Third Proportional to 15,018 and 22,527

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Solution

The third proportional to 15,018 and 22,527 is: 33,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 22,527 = 22,527 : x
  2. Step 2: Convert to fraction form
    15,018/22,527 = 22,527/x
  3. Step 3: Cross multiply
    15,018x = 22,527 × 22,527
  4. Step 4: Simplify right side
    15,018x = 507,465,729
  5. Step 5: Solve for x
    x = 507,465,729/15,018
  6. Step 6: Final answer
    x = 33,790.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.