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Finding the Third Proportional to 35,778 and 56,737

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Solution

The third proportional to 35,778 and 56,737 is: 89,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778 : 56,737 = 56,737 : x
  2. Step 2: Convert to fraction form
    35,778/56,737 = 56,737/x
  3. Step 3: Cross multiply
    35,778x = 56,737 × 56,737
  4. Step 4: Simplify right side
    35,778x = 3,219,087,169
  5. Step 5: Solve for x
    x = 3,219,087,169/35,778
  6. Step 6: Final answer
    x = 89,973.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.