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Finding the Third Proportional to 21,466 and 46,106.50

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Solution

The third proportional to 21,466 and 46,106.50 is: 99,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466 : 46,106.50 = 46,106.50 : x
  2. Step 2: Convert to fraction form
    21,466/46,106.50 = 46,106.50/x
  3. Step 3: Cross multiply
    21,466x = 46,106.50 × 46,106.50
  4. Step 4: Simplify right side
    21,466x = 2,125,809,342.25
  5. Step 5: Solve for x
    x = 2,125,809,342.25/21,466
  6. Step 6: Final answer
    x = 99,031.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.