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Finding the Third Proportional to 34,537 and 40,915.75

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Solution

The third proportional to 34,537 and 40,915.75 is: 48,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537 : 40,915.75 = 40,915.75 : x
  2. Step 2: Convert to fraction form
    34,537/40,915.75 = 40,915.75/x
  3. Step 3: Cross multiply
    34,537x = 40,915.75 × 40,915.75
  4. Step 4: Simplify right side
    34,537x = 1,674,098,598.06
  5. Step 5: Solve for x
    x = 1,674,098,598.06/34,537
  6. Step 6: Final answer
    x = 48,472.61

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Why These Related Problems?

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