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Finding the Third Proportional to 29,585 and 64,353

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Solution

The third proportional to 29,585 and 64,353 is: 139,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585 : 64,353 = 64,353 : x
  2. Step 2: Convert to fraction form
    29,585/64,353 = 64,353/x
  3. Step 3: Cross multiply
    29,585x = 64,353 × 64,353
  4. Step 4: Simplify right side
    29,585x = 4,141,308,609
  5. Step 5: Solve for x
    x = 4,141,308,609/29,585
  6. Step 6: Final answer
    x = 139,980.01

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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.