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Finding the Third Proportional to 14,762 and 22,528

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Solution

The third proportional to 14,762 and 22,528 is: 34,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762 : 22,528 = 22,528 : x
  2. Step 2: Convert to fraction form
    14,762/22,528 = 22,528/x
  3. Step 3: Cross multiply
    14,762x = 22,528 × 22,528
  4. Step 4: Simplify right side
    14,762x = 507,510,784
  5. Step 5: Solve for x
    x = 507,510,784/14,762
  6. Step 6: Final answer
    x = 34,379.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.