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Finding the Third Proportional to 4,524.61 and 7,038.14

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Solution

The third proportional to 4,524.61 and 7,038.14 is: 10,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.61 : 7,038.14 = 7,038.14 : x
  2. Step 2: Convert to fraction form
    4,524.61/7,038.14 = 7,038.14/x
  3. Step 3: Cross multiply
    4,524.61x = 7,038.14 × 7,038.14
  4. Step 4: Simplify right side
    4,524.61x = 49,535,423.46
  5. Step 5: Solve for x
    x = 49,535,423.46/4,524.61
  6. Step 6: Final answer
    x = 10,948.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.