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Finding the Third Proportional to 29,484 and 46,709

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Solution

The third proportional to 29,484 and 46,709 is: 73,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484 : 46,709 = 46,709 : x
  2. Step 2: Convert to fraction form
    29,484/46,709 = 46,709/x
  3. Step 3: Cross multiply
    29,484x = 46,709 × 46,709
  4. Step 4: Simplify right side
    29,484x = 2,181,730,681
  5. Step 5: Solve for x
    x = 2,181,730,681/29,484
  6. Step 6: Final answer
    x = 73,997.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.