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Finding the Third Proportional to 22,784 and 36,528

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Solution

The third proportional to 22,784 and 36,528 is: 58,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 36,528 = 36,528 : x
  2. Step 2: Convert to fraction form
    22,784/36,528 = 36,528/x
  3. Step 3: Cross multiply
    22,784x = 36,528 × 36,528
  4. Step 4: Simplify right side
    22,784x = 1,334,294,784
  5. Step 5: Solve for x
    x = 1,334,294,784/22,784
  6. Step 6: Final answer
    x = 58,562.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.