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Finding the Third Proportional to 27,901.34 and 65,852.05

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Solution

The third proportional to 27,901.34 and 65,852.05 is: 155,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.34 : 65,852.05 = 65,852.05 : x
  2. Step 2: Convert to fraction form
    27,901.34/65,852.05 = 65,852.05/x
  3. Step 3: Cross multiply
    27,901.34x = 65,852.05 × 65,852.05
  4. Step 4: Simplify right side
    27,901.34x = 4,336,492,592.10
  5. Step 5: Solve for x
    x = 4,336,492,592.10/27,901.34
  6. Step 6: Final answer
    x = 155,422.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.