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Finding the Third Proportional to 29,570 and 64,603

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Solution

The third proportional to 29,570 and 64,603 is: 141,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570 : 64,603 = 64,603 : x
  2. Step 2: Convert to fraction form
    29,570/64,603 = 64,603/x
  3. Step 3: Cross multiply
    29,570x = 64,603 × 64,603
  4. Step 4: Simplify right side
    29,570x = 4,173,547,609
  5. Step 5: Solve for x
    x = 4,173,547,609/29,570
  6. Step 6: Final answer
    x = 141,141.28

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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.