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Finding the Third Proportional to 24,051 and 35,346

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Solution

The third proportional to 24,051 and 35,346 is: 51,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051 : 35,346 = 35,346 : x
  2. Step 2: Convert to fraction form
    24,051/35,346 = 35,346/x
  3. Step 3: Cross multiply
    24,051x = 35,346 × 35,346
  4. Step 4: Simplify right side
    24,051x = 1,249,339,716
  5. Step 5: Solve for x
    x = 1,249,339,716/24,051
  6. Step 6: Final answer
    x = 51,945.44

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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.