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Finding the Third Proportional to 29,528 and 62,656

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Solution

The third proportional to 29,528 and 62,656 is: 132,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,528 : 62,656 = 62,656 : x
  2. Step 2: Convert to fraction form
    29,528/62,656 = 62,656/x
  3. Step 3: Cross multiply
    29,528x = 62,656 × 62,656
  4. Step 4: Simplify right side
    29,528x = 3,925,774,336
  5. Step 5: Solve for x
    x = 3,925,774,336/29,528
  6. Step 6: Final answer
    x = 132,950.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.