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Finding the Third Proportional to 10,033.72 and 15,569.56

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Solution

The third proportional to 10,033.72 and 15,569.56 is: 24,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.72 : 15,569.56 = 15,569.56 : x
  2. Step 2: Convert to fraction form
    10,033.72/15,569.56 = 15,569.56/x
  3. Step 3: Cross multiply
    10,033.72x = 15,569.56 × 15,569.56
  4. Step 4: Simplify right side
    10,033.72x = 242,411,215.62
  5. Step 5: Solve for x
    x = 242,411,215.62/10,033.72
  6. Step 6: Final answer
    x = 24,159.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.