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Finding the Third Proportional to 9,532.69 and 14,582.53

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Solution

The third proportional to 9,532.69 and 14,582.53 is: 22,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.69 : 14,582.53 = 14,582.53 : x
  2. Step 2: Convert to fraction form
    9,532.69/14,582.53 = 14,582.53/x
  3. Step 3: Cross multiply
    9,532.69x = 14,582.53 × 14,582.53
  4. Step 4: Simplify right side
    9,532.69x = 212,650,217.66
  5. Step 5: Solve for x
    x = 212,650,217.66/9,532.69
  6. Step 6: Final answer
    x = 22,307.48

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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.