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Finding the Third Proportional to 37,624.50 and 55,312.88

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Solution

The third proportional to 37,624.50 and 55,312.88 is: 81,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,624.50 : 55,312.88 = 55,312.88 : x
  2. Step 2: Convert to fraction form
    37,624.50/55,312.88 = 55,312.88/x
  3. Step 3: Cross multiply
    37,624.50x = 55,312.88 × 55,312.88
  4. Step 4: Simplify right side
    37,624.50x = 3,059,514,140.77
  5. Step 5: Solve for x
    x = 3,059,514,140.77/37,624.50
  6. Step 6: Final answer
    x = 81,317.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.