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Finding the Third Proportional to 19,491 and 29,411.50

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Solution

The third proportional to 19,491 and 29,411.50 is: 44,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491 : 29,411.50 = 29,411.50 : x
  2. Step 2: Convert to fraction form
    19,491/29,411.50 = 29,411.50/x
  3. Step 3: Cross multiply
    19,491x = 29,411.50 × 29,411.50
  4. Step 4: Simplify right side
    19,491x = 865,036,332.25
  5. Step 5: Solve for x
    x = 865,036,332.25/19,491
  6. Step 6: Final answer
    x = 44,381.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.