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Finding the Third Proportional to 34,563 and 53,860.50

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Solution

The third proportional to 34,563 and 53,860.50 is: 83,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563 : 53,860.50 = 53,860.50 : x
  2. Step 2: Convert to fraction form
    34,563/53,860.50 = 53,860.50/x
  3. Step 3: Cross multiply
    34,563x = 53,860.50 × 53,860.50
  4. Step 4: Simplify right side
    34,563x = 2,900,953,460.25
  5. Step 5: Solve for x
    x = 2,900,953,460.25/34,563
  6. Step 6: Final answer
    x = 83,932.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.