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Finding the Third Proportional to 37,543.50 and 58,468.50

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Solution

The third proportional to 37,543.50 and 58,468.50 is: 91,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.50 : 58,468.50 = 58,468.50 : x
  2. Step 2: Convert to fraction form
    37,543.50/58,468.50 = 58,468.50/x
  3. Step 3: Cross multiply
    37,543.50x = 58,468.50 × 58,468.50
  4. Step 4: Simplify right side
    37,543.50x = 3,418,565,492.25
  5. Step 5: Solve for x
    x = 3,418,565,492.25/37,543.50
  6. Step 6: Final answer
    x = 91,056.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.