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Finding the Third Proportional to 51,915.94 and 70,470

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Solution

The third proportional to 51,915.94 and 70,470 is: 95,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,915.94 : 70,470 = 70,470 : x
  2. Step 2: Convert to fraction form
    51,915.94/70,470 = 70,470/x
  3. Step 3: Cross multiply
    51,915.94x = 70,470 × 70,470
  4. Step 4: Simplify right side
    51,915.94x = 4,966,020,900
  5. Step 5: Solve for x
    x = 4,966,020,900/51,915.94
  6. Step 6: Final answer
    x = 95,655.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.