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Finding the Third Proportional to 36,454 and 56,297

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Solution

The third proportional to 36,454 and 56,297 is: 86,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454 : 56,297 = 56,297 : x
  2. Step 2: Convert to fraction form
    36,454/56,297 = 56,297/x
  3. Step 3: Cross multiply
    36,454x = 56,297 × 56,297
  4. Step 4: Simplify right side
    36,454x = 3,169,352,209
  5. Step 5: Solve for x
    x = 3,169,352,209/36,454
  6. Step 6: Final answer
    x = 86,941.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.