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Finding the Third Proportional to 29,564 and 64,312

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Solution

The third proportional to 29,564 and 64,312 is: 139,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564 : 64,312 = 64,312 : x
  2. Step 2: Convert to fraction form
    29,564/64,312 = 64,312/x
  3. Step 3: Cross multiply
    29,564x = 64,312 × 64,312
  4. Step 4: Simplify right side
    29,564x = 4,136,033,344
  5. Step 5: Solve for x
    x = 4,136,033,344/29,564
  6. Step 6: Final answer
    x = 139,901.01

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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.