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Finding the Third Proportional to 31,552.50 and 37,312.50

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Solution

The third proportional to 31,552.50 and 37,312.50 is: 44,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.50 : 37,312.50 = 37,312.50 : x
  2. Step 2: Convert to fraction form
    31,552.50/37,312.50 = 37,312.50/x
  3. Step 3: Cross multiply
    31,552.50x = 37,312.50 × 37,312.50
  4. Step 4: Simplify right side
    31,552.50x = 1,392,222,656.25
  5. Step 5: Solve for x
    x = 1,392,222,656.25/31,552.50
  6. Step 6: Final answer
    x = 44,124.00

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.