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Finding the Third Proportional to 11,330.16 and 24,543.56

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Solution

The third proportional to 11,330.16 and 24,543.56 is: 53,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.16 : 24,543.56 = 24,543.56 : x
  2. Step 2: Convert to fraction form
    11,330.16/24,543.56 = 24,543.56/x
  3. Step 3: Cross multiply
    11,330.16x = 24,543.56 × 24,543.56
  4. Step 4: Simplify right side
    11,330.16x = 602,386,460.19
  5. Step 5: Solve for x
    x = 602,386,460.19/11,330.16
  6. Step 6: Final answer
    x = 53,166.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.