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Finding the Third Proportional to 30,360 and 42,466.50

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Solution

The third proportional to 30,360 and 42,466.50 is: 59,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 42,466.50 = 42,466.50 : x
  2. Step 2: Convert to fraction form
    30,360/42,466.50 = 42,466.50/x
  3. Step 3: Cross multiply
    30,360x = 42,466.50 × 42,466.50
  4. Step 4: Simplify right side
    30,360x = 1,803,403,622.25
  5. Step 5: Solve for x
    x = 1,803,403,622.25/30,360
  6. Step 6: Final answer
    x = 59,400.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.