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Finding the Third Proportional to 34,392 and 46,402

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Solution

The third proportional to 34,392 and 46,402 is: 62,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,392 : 46,402 = 46,402 : x
  2. Step 2: Convert to fraction form
    34,392/46,402 = 46,402/x
  3. Step 3: Cross multiply
    34,392x = 46,402 × 46,402
  4. Step 4: Simplify right side
    34,392x = 2,153,145,604
  5. Step 5: Solve for x
    x = 2,153,145,604/34,392
  6. Step 6: Final answer
    x = 62,606.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.