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Finding the Third Proportional to 22,465 and 35,237

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Solution

The third proportional to 22,465 and 35,237 is: 55,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465 : 35,237 = 35,237 : x
  2. Step 2: Convert to fraction form
    22,465/35,237 = 35,237/x
  3. Step 3: Cross multiply
    22,465x = 35,237 × 35,237
  4. Step 4: Simplify right side
    22,465x = 1,241,646,169
  5. Step 5: Solve for x
    x = 1,241,646,169/22,465
  6. Step 6: Final answer
    x = 55,270.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.