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Finding the Third Proportional to 46,323 and 70,421

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Solution

The third proportional to 46,323 and 70,421 is: 107,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323 : 70,421 = 70,421 : x
  2. Step 2: Convert to fraction form
    46,323/70,421 = 70,421/x
  3. Step 3: Cross multiply
    46,323x = 70,421 × 70,421
  4. Step 4: Simplify right side
    46,323x = 4,959,117,241
  5. Step 5: Solve for x
    x = 4,959,117,241/46,323
  6. Step 6: Final answer
    x = 107,055.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.