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Finding the Third Proportional to 30,421.50 and 46,224

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Solution

The third proportional to 30,421.50 and 46,224 is: 70,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.50 : 46,224 = 46,224 : x
  2. Step 2: Convert to fraction form
    30,421.50/46,224 = 46,224/x
  3. Step 3: Cross multiply
    30,421.50x = 46,224 × 46,224
  4. Step 4: Simplify right side
    30,421.50x = 2,136,658,176
  5. Step 5: Solve for x
    x = 2,136,658,176/30,421.50
  6. Step 6: Final answer
    x = 70,235.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.