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Finding the Third Proportional to 21,156.50 and 46,465

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Solution

The third proportional to 21,156.50 and 46,465 is: 102,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.50 : 46,465 = 46,465 : x
  2. Step 2: Convert to fraction form
    21,156.50/46,465 = 46,465/x
  3. Step 3: Cross multiply
    21,156.50x = 46,465 × 46,465
  4. Step 4: Simplify right side
    21,156.50x = 2,158,996,225
  5. Step 5: Solve for x
    x = 2,158,996,225/21,156.50
  6. Step 6: Final answer
    x = 102,048.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.