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Finding the Third Proportional to 32,622.75 and 33,549.19

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Solution

The third proportional to 32,622.75 and 33,549.19 is: 34,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.75 : 33,549.19 = 33,549.19 : x
  2. Step 2: Convert to fraction form
    32,622.75/33,549.19 = 33,549.19/x
  3. Step 3: Cross multiply
    32,622.75x = 33,549.19 × 33,549.19
  4. Step 4: Simplify right side
    32,622.75x = 1,125,547,981.91
  5. Step 5: Solve for x
    x = 1,125,547,981.91/32,622.75
  6. Step 6: Final answer
    x = 34,501.93

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.