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Finding the Third Proportional to 7,590.38 and 14,488.88

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Solution

The third proportional to 7,590.38 and 14,488.88 is: 27,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.38 : 14,488.88 = 14,488.88 : x
  2. Step 2: Convert to fraction form
    7,590.38/14,488.88 = 14,488.88/x
  3. Step 3: Cross multiply
    7,590.38x = 14,488.88 × 14,488.88
  4. Step 4: Simplify right side
    7,590.38x = 209,927,498.77
  5. Step 5: Solve for x
    x = 209,927,498.77/7,590.38
  6. Step 6: Final answer
    x = 27,657.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.