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Finding the Third Proportional to 19,386 and 27,590.63

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Solution

The third proportional to 19,386 and 27,590.63 is: 39,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386 : 27,590.63 = 27,590.63 : x
  2. Step 2: Convert to fraction form
    19,386/27,590.63 = 27,590.63/x
  3. Step 3: Cross multiply
    19,386x = 27,590.63 × 27,590.63
  4. Step 4: Simplify right side
    19,386x = 761,242,587.89
  5. Step 5: Solve for x
    x = 761,242,587.89/19,386
  6. Step 6: Final answer
    x = 39,267.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.