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Finding the Third Proportional to 24,230.25 and 35,547.75

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Solution

The third proportional to 24,230.25 and 35,547.75 is: 52,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.25 : 35,547.75 = 35,547.75 : x
  2. Step 2: Convert to fraction form
    24,230.25/35,547.75 = 35,547.75/x
  3. Step 3: Cross multiply
    24,230.25x = 35,547.75 × 35,547.75
  4. Step 4: Simplify right side
    24,230.25x = 1,263,642,530.06
  5. Step 5: Solve for x
    x = 1,263,642,530.06/24,230.25
  6. Step 6: Final answer
    x = 52,151.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.