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Finding the Third Proportional to 28,224 and 63,130.50

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Solution

The third proportional to 28,224 and 63,130.50 is: 141,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224 : 63,130.50 = 63,130.50 : x
  2. Step 2: Convert to fraction form
    28,224/63,130.50 = 63,130.50/x
  3. Step 3: Cross multiply
    28,224x = 63,130.50 × 63,130.50
  4. Step 4: Simplify right side
    28,224x = 3,985,460,030.25
  5. Step 5: Solve for x
    x = 3,985,460,030.25/28,224
  6. Step 6: Final answer
    x = 141,208.19

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.