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Finding the Third Proportional to 29,038 and 44,854

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Solution

The third proportional to 29,038 and 44,854 is: 69,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038 : 44,854 = 44,854 : x
  2. Step 2: Convert to fraction form
    29,038/44,854 = 44,854/x
  3. Step 3: Cross multiply
    29,038x = 44,854 × 44,854
  4. Step 4: Simplify right side
    29,038x = 2,011,881,316
  5. Step 5: Solve for x
    x = 2,011,881,316/29,038
  6. Step 6: Final answer
    x = 69,284.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.