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Finding the Third Proportional to 19,074 and 29,475

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Solution

The third proportional to 19,074 and 29,475 is: 45,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,074 : 29,475 = 29,475 : x
  2. Step 2: Convert to fraction form
    19,074/29,475 = 29,475/x
  3. Step 3: Cross multiply
    19,074x = 29,475 × 29,475
  4. Step 4: Simplify right side
    19,074x = 868,775,625
  5. Step 5: Solve for x
    x = 868,775,625/19,074
  6. Step 6: Final answer
    x = 45,547.64

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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.