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Finding the Third Proportional to 35,607 and 55,354.50

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Solution

The third proportional to 35,607 and 55,354.50 is: 86,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,607 : 55,354.50 = 55,354.50 : x
  2. Step 2: Convert to fraction form
    35,607/55,354.50 = 55,354.50/x
  3. Step 3: Cross multiply
    35,607x = 55,354.50 × 55,354.50
  4. Step 4: Simplify right side
    35,607x = 3,064,120,670.25
  5. Step 5: Solve for x
    x = 3,064,120,670.25/35,607
  6. Step 6: Final answer
    x = 86,053.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.