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Finding the Third Proportional to 22,312 and 46,473

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Solution

The third proportional to 22,312 and 46,473 is: 96,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312 : 46,473 = 46,473 : x
  2. Step 2: Convert to fraction form
    22,312/46,473 = 46,473/x
  3. Step 3: Cross multiply
    22,312x = 46,473 × 46,473
  4. Step 4: Simplify right side
    22,312x = 2,159,739,729
  5. Step 5: Solve for x
    x = 2,159,739,729/22,312
  6. Step 6: Final answer
    x = 96,797.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.