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Finding the Third Proportional to 30,574 and 48,646

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Solution

The third proportional to 30,574 and 48,646 is: 77,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574 : 48,646 = 48,646 : x
  2. Step 2: Convert to fraction form
    30,574/48,646 = 48,646/x
  3. Step 3: Cross multiply
    30,574x = 48,646 × 48,646
  4. Step 4: Simplify right side
    30,574x = 2,366,433,316
  5. Step 5: Solve for x
    x = 2,366,433,316/30,574
  6. Step 6: Final answer
    x = 77,400.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.