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Finding the Third Proportional to 35,637 and 75,297

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Solution

The third proportional to 35,637 and 75,297 is: 159,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637 : 75,297 = 75,297 : x
  2. Step 2: Convert to fraction form
    35,637/75,297 = 75,297/x
  3. Step 3: Cross multiply
    35,637x = 75,297 × 75,297
  4. Step 4: Simplify right side
    35,637x = 5,669,638,209
  5. Step 5: Solve for x
    x = 5,669,638,209/35,637
  6. Step 6: Final answer
    x = 159,094.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.