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Finding the Third Proportional to 53,502 and 79,483.50

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Solution

The third proportional to 53,502 and 79,483.50 is: 118,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502 : 79,483.50 = 79,483.50 : x
  2. Step 2: Convert to fraction form
    53,502/79,483.50 = 79,483.50/x
  3. Step 3: Cross multiply
    53,502x = 79,483.50 × 79,483.50
  4. Step 4: Simplify right side
    53,502x = 6,317,626,772.25
  5. Step 5: Solve for x
    x = 6,317,626,772.25/53,502
  6. Step 6: Final answer
    x = 118,082.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.