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Finding the Third Proportional to 32,475 and 43,420.50

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Solution

The third proportional to 32,475 and 43,420.50 is: 58,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475 : 43,420.50 = 43,420.50 : x
  2. Step 2: Convert to fraction form
    32,475/43,420.50 = 43,420.50/x
  3. Step 3: Cross multiply
    32,475x = 43,420.50 × 43,420.50
  4. Step 4: Simplify right side
    32,475x = 1,885,339,820.25
  5. Step 5: Solve for x
    x = 1,885,339,820.25/32,475
  6. Step 6: Final answer
    x = 58,055.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.