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Finding the Third Proportional to 30,127.50 and 46,802.25

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Solution

The third proportional to 30,127.50 and 46,802.25 is: 72,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,127.50 : 46,802.25 = 46,802.25 : x
  2. Step 2: Convert to fraction form
    30,127.50/46,802.25 = 46,802.25/x
  3. Step 3: Cross multiply
    30,127.50x = 46,802.25 × 46,802.25
  4. Step 4: Simplify right side
    30,127.50x = 2,190,450,605.06
  5. Step 5: Solve for x
    x = 2,190,450,605.06/30,127.50
  6. Step 6: Final answer
    x = 72,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.