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Finding the Third Proportional to 45,630 and 61,036.50

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Solution

The third proportional to 45,630 and 61,036.50 is: 81,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 61,036.50 = 61,036.50 : x
  2. Step 2: Convert to fraction form
    45,630/61,036.50 = 61,036.50/x
  3. Step 3: Cross multiply
    45,630x = 61,036.50 × 61,036.50
  4. Step 4: Simplify right side
    45,630x = 3,725,454,332.25
  5. Step 5: Solve for x
    x = 3,725,454,332.25/45,630
  6. Step 6: Final answer
    x = 81,644.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.