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Finding the Third Proportional to 35,490 and 59,146

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Solution

The third proportional to 35,490 and 59,146 is: 98,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490 : 59,146 = 59,146 : x
  2. Step 2: Convert to fraction form
    35,490/59,146 = 59,146/x
  3. Step 3: Cross multiply
    35,490x = 59,146 × 59,146
  4. Step 4: Simplify right side
    35,490x = 3,498,249,316
  5. Step 5: Solve for x
    x = 3,498,249,316/35,490
  6. Step 6: Final answer
    x = 98,570.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.