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Finding the Third Proportional to 37,688.63 and 55,409.06

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Solution

The third proportional to 37,688.63 and 55,409.06 is: 81,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,688.63 : 55,409.06 = 55,409.06 : x
  2. Step 2: Convert to fraction form
    37,688.63/55,409.06 = 55,409.06/x
  3. Step 3: Cross multiply
    37,688.63x = 55,409.06 × 55,409.06
  4. Step 4: Simplify right side
    37,688.63x = 3,070,164,207.13
  5. Step 5: Solve for x
    x = 3,070,164,207.13/37,688.63
  6. Step 6: Final answer
    x = 81,461.30

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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.