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Finding the Third Proportional to 29,902.50 and 47,587.50

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Solution

The third proportional to 29,902.50 and 47,587.50 is: 75,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.50 : 47,587.50 = 47,587.50 : x
  2. Step 2: Convert to fraction form
    29,902.50/47,587.50 = 47,587.50/x
  3. Step 3: Cross multiply
    29,902.50x = 47,587.50 × 47,587.50
  4. Step 4: Simplify right side
    29,902.50x = 2,264,570,156.25
  5. Step 5: Solve for x
    x = 2,264,570,156.25/29,902.50
  6. Step 6: Final answer
    x = 75,731.80

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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.