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Finding the Third Proportional to 23,547.94 and 35,322.19

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Solution

The third proportional to 23,547.94 and 35,322.19 is: 52,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.94 : 35,322.19 = 35,322.19 : x
  2. Step 2: Convert to fraction form
    23,547.94/35,322.19 = 35,322.19/x
  3. Step 3: Cross multiply
    23,547.94x = 35,322.19 × 35,322.19
  4. Step 4: Simplify right side
    23,547.94x = 1,247,656,929.79
  5. Step 5: Solve for x
    x = 1,247,656,929.79/23,547.94
  6. Step 6: Final answer
    x = 52,983.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.