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Finding the Third Proportional to 19,088.16 and 40,330.69

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Solution

The third proportional to 19,088.16 and 40,330.69 is: 85,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,088.16 : 40,330.69 = 40,330.69 : x
  2. Step 2: Convert to fraction form
    19,088.16/40,330.69 = 40,330.69/x
  3. Step 3: Cross multiply
    19,088.16x = 40,330.69 × 40,330.69
  4. Step 4: Simplify right side
    19,088.16x = 1,626,564,354.22
  5. Step 5: Solve for x
    x = 1,626,564,354.22/19,088.16
  6. Step 6: Final answer
    x = 85,213.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.