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Finding the Third Proportional to 35,643 and 56,061

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Solution

The third proportional to 35,643 and 56,061 is: 88,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643 : 56,061 = 56,061 : x
  2. Step 2: Convert to fraction form
    35,643/56,061 = 56,061/x
  3. Step 3: Cross multiply
    35,643x = 56,061 × 56,061
  4. Step 4: Simplify right side
    35,643x = 3,142,835,721
  5. Step 5: Solve for x
    x = 3,142,835,721/35,643
  6. Step 6: Final answer
    x = 88,175.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.