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Finding the Third Proportional to 34,784 and 53,312

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Solution

The third proportional to 34,784 and 53,312 is: 81,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,784 : 53,312 = 53,312 : x
  2. Step 2: Convert to fraction form
    34,784/53,312 = 53,312/x
  3. Step 3: Cross multiply
    34,784x = 53,312 × 53,312
  4. Step 4: Simplify right side
    34,784x = 2,842,169,344
  5. Step 5: Solve for x
    x = 2,842,169,344/34,784
  6. Step 6: Final answer
    x = 81,709.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.