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Finding the Third Proportional to 34,335 and 72,362.25

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Solution

The third proportional to 34,335 and 72,362.25 is: 152,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,335 : 72,362.25 = 72,362.25 : x
  2. Step 2: Convert to fraction form
    34,335/72,362.25 = 72,362.25/x
  3. Step 3: Cross multiply
    34,335x = 72,362.25 × 72,362.25
  4. Step 4: Simplify right side
    34,335x = 5,236,295,225.06
  5. Step 5: Solve for x
    x = 5,236,295,225.06/34,335
  6. Step 6: Final answer
    x = 152,506.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.