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Finding the Third Proportional to 46,297 and 65,553

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Solution

The third proportional to 46,297 and 65,553 is: 92,818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,297 : 65,553 = 65,553 : x
  2. Step 2: Convert to fraction form
    46,297/65,553 = 65,553/x
  3. Step 3: Cross multiply
    46,297x = 65,553 × 65,553
  4. Step 4: Simplify right side
    46,297x = 4,297,195,809
  5. Step 5: Solve for x
    x = 4,297,195,809/46,297
  6. Step 6: Final answer
    x = 92,818.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.