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Finding the Third Proportional to 25,988.34 and 41,315.06

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Solution

The third proportional to 25,988.34 and 41,315.06 is: 65,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.34 : 41,315.06 = 41,315.06 : x
  2. Step 2: Convert to fraction form
    25,988.34/41,315.06 = 41,315.06/x
  3. Step 3: Cross multiply
    25,988.34x = 41,315.06 × 41,315.06
  4. Step 4: Simplify right side
    25,988.34x = 1,706,934,389.38
  5. Step 5: Solve for x
    x = 1,706,934,389.38/25,988.34
  6. Step 6: Final answer
    x = 65,680.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.