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Finding the Third Proportional to 27,590.63 and 42,633

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Solution

The third proportional to 27,590.63 and 42,633 is: 65,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590.63 : 42,633 = 42,633 : x
  2. Step 2: Convert to fraction form
    27,590.63/42,633 = 42,633/x
  3. Step 3: Cross multiply
    27,590.63x = 42,633 × 42,633
  4. Step 4: Simplify right side
    27,590.63x = 1,817,572,689
  5. Step 5: Solve for x
    x = 1,817,572,689/27,590.63
  6. Step 6: Final answer
    x = 65,876.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.