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Finding the Third Proportional to 24,297 and 36,465

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Solution

The third proportional to 24,297 and 36,465 is: 54,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297 : 36,465 = 36,465 : x
  2. Step 2: Convert to fraction form
    24,297/36,465 = 36,465/x
  3. Step 3: Cross multiply
    24,297x = 36,465 × 36,465
  4. Step 4: Simplify right side
    24,297x = 1,329,696,225
  5. Step 5: Solve for x
    x = 1,329,696,225/24,297
  6. Step 6: Final answer
    x = 54,726.77

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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.