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Finding the Third Proportional to 24,628 and 37,237

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Solution

The third proportional to 24,628 and 37,237 is: 56,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,628 : 37,237 = 37,237 : x
  2. Step 2: Convert to fraction form
    24,628/37,237 = 37,237/x
  3. Step 3: Cross multiply
    24,628x = 37,237 × 37,237
  4. Step 4: Simplify right side
    24,628x = 1,386,594,169
  5. Step 5: Solve for x
    x = 1,386,594,169/24,628
  6. Step 6: Final answer
    x = 56,301.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.