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Finding the Third Proportional to 7,306.50 and 15,780.75

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Solution

The third proportional to 7,306.50 and 15,780.75 is: 34,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.50 : 15,780.75 = 15,780.75 : x
  2. Step 2: Convert to fraction form
    7,306.50/15,780.75 = 15,780.75/x
  3. Step 3: Cross multiply
    7,306.50x = 15,780.75 × 15,780.75
  4. Step 4: Simplify right side
    7,306.50x = 249,032,070.56
  5. Step 5: Solve for x
    x = 249,032,070.56/7,306.50
  6. Step 6: Final answer
    x = 34,083.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.