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Finding the Third Proportional to 5,148.84 and 7,541.02

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Solution

The third proportional to 5,148.84 and 7,541.02 is: 11,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.84 : 7,541.02 = 7,541.02 : x
  2. Step 2: Convert to fraction form
    5,148.84/7,541.02 = 7,541.02/x
  3. Step 3: Cross multiply
    5,148.84x = 7,541.02 × 7,541.02
  4. Step 4: Simplify right side
    5,148.84x = 56,866,916.66
  5. Step 5: Solve for x
    x = 56,866,916.66/5,148.84
  6. Step 6: Final answer
    x = 11,044.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.