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Finding the Third Proportional to 32,319 and 70,455

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Solution

The third proportional to 32,319 and 70,455 is: 153,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 70,455 = 70,455 : x
  2. Step 2: Convert to fraction form
    32,319/70,455 = 70,455/x
  3. Step 3: Cross multiply
    32,319x = 70,455 × 70,455
  4. Step 4: Simplify right side
    32,319x = 4,963,907,025
  5. Step 5: Solve for x
    x = 4,963,907,025/32,319
  6. Step 6: Final answer
    x = 153,590.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.