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Finding the Third Proportional to 34,590 and 48,577.50

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Solution

The third proportional to 34,590 and 48,577.50 is: 68,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590 : 48,577.50 = 48,577.50 : x
  2. Step 2: Convert to fraction form
    34,590/48,577.50 = 48,577.50/x
  3. Step 3: Cross multiply
    34,590x = 48,577.50 × 48,577.50
  4. Step 4: Simplify right side
    34,590x = 2,359,773,506.25
  5. Step 5: Solve for x
    x = 2,359,773,506.25/34,590
  6. Step 6: Final answer
    x = 68,221.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.