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Finding the Third Proportional to 45,998 and 67,482

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Solution

The third proportional to 45,998 and 67,482 is: 99,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,998 : 67,482 = 67,482 : x
  2. Step 2: Convert to fraction form
    45,998/67,482 = 67,482/x
  3. Step 3: Cross multiply
    45,998x = 67,482 × 67,482
  4. Step 4: Simplify right side
    45,998x = 4,553,820,324
  5. Step 5: Solve for x
    x = 4,553,820,324/45,998
  6. Step 6: Final answer
    x = 99,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.